Thanks for writing. I am glad you decided to check this out. Your chancery contact was correct in his/her impression. The quote is mistaken.
If a diocesan Ordinary is replaced by another, and that new bishop doesn't want to profess hermits under c 603, he doesn't generally have to do so --- except in one case. Even then it would be a matter of acting in good faith and charity to complete something begun under his predecessor, not a matter of having no choice. Suppose a hermit has been temporary professed under c 603 in the hands of his predecessor and has continued to live her vocation in a faithful way. In that case, she should be able to count on being admitted to perpetual profession in a timely manner by the new bishop so long as she and those responsible for her vocation continue to discern that diocesan eremitical life is her vocation. If that hermit is already perpetually professed, however, the new bishop needs to accept that it is his role to supervise this vocation in some substantive way. This specific vocation comes to him with his assumption of responsibility for the diocese, and he needs to accept that, no matter how personally challenging he finds this. The hermit who is perpetually professed and consecrated does not have to uproot, search for a willing bishop, find another SD, locate housing, parish, etc., and incur the expense of such a move simply because one bishop does not want to use a Canon that is already in effect in universal law.
I have not run into a case where someone who is either preparing for profession or who has already made a temporary profession is simply left high and dry when a new bishop is installed. I am aware of one situation where the Archbishop will be retiring in another year or so; even so, in this specific case there has been an auxiliary bishop overseeing the individual's progress; the general sense is that the candidate can confidently continue on with the process of discernment and formation she has been working through for more than a year and a half now and do so under the auxiliary. Hermits seeking profession under canon 603 do not move through the process all at the same speed, and they are not ready for profession at the same time. One of the things we are trying to get dioceses to recognize is that writing a liveable Rule -- as required by the canon --- takes significant experience and time. The process of discernment and formation is more individualized for this vocation than any other I know. The process of writing a Rule helps with both of these, both for the candidate and for the discernment team. Chanceries do tend to know some of this and act in good faith regarding admission to profession.
Further Considerations and Possibilities:
Your own situation raises the difficulties of moving to another diocese very clearly. The demands they would place on you to continue following this vocation would be inordinate and unacceptable, especially given both CC 603 and 605 that are universally binding within the Church. You have not said whether you are temporary professed or not, but I do agree that even if you are in temporary vows now, moving to another diocese would essentially mean starting over again. I think that would be true even if your current bishop and those others who have worked with you over the years wrote glowing recommendations. I think it is really important that you find a way to ease your concerns in this matter as much as possible. If the new bishop is not here already, get an appointment with the current Ordinary as well as with the chancery personnel who have been working with you during the past years, and apprise them of your concerns.If they can assure you your own discernment/formation process will continue without the prospect of it being derailed because of a new bishop, then excellent! If this assurance cannot be given, another option might be for the diocese to anticipate perpetual profession and celebrate this before your current bishop leaves office. If this is not possible, however, try to get a sense of what you still need to do so that you are ready for that step as soon as possible. If you are working on your Rule, then try to get an assessment of where that is still weak or incomplete. There are posts on writing a Rule on this blog, including a new post on "the basics". Much of writing a Rule has to do with sufficient experience and reflection. What you include in your Rule will be used by your diocese to help determine your own readiness for perpetual or definitive commitment. Do get some specific answers from vocation personnel in regard to their own work with you. At least this will help ensure both they and you are clear about your progress and any concerns regarding your vocation.
And, of course, if you are already definitively professed and consecrated, you have nothing to worry about in any case. Still, if the incoming bishop does not want C 603 hermits, one thing you may want to consider is that he may also not plan on supervising your vocation as C 603 calls for. Neither may he be able to do so. In that case, if you have not already done so, I recommend you ask your current bishop to approve a delegate with whom you will meet in place of or in addition to the local ordinary. Hermits ordinarily choose their delegate, but some bishops will assign them. In either case, a delegate serves as a quasi-superior and can ease the burden on the bishop by meeting with the hermit more frequently than bishops can ordinarily do. I work very closely with my delegate(s) and that has seen me through various bishops and degrees of availability. Moreover, since my co-delegate(s) are both women Religious with backgrounds in formation and leadership, our level of sharing is greater than it might be with a bishop I see but once or twice a year. Just something to consider.