I agree, it would be a minority.
I wouldn’t hazard a guess at to how much of a “minority” it is. Just taking a wild guess, based upon anecdotal evidence, I would say that most PBEs “pick a church” based upon how much they feel inspired or edified by it, whether they feel like “God is calling me to be there”, and how agreeable they find the fellowship or worship. None of these are “bad” reasons, and to be fair, some Catholics choose a parish (to which they are not ascribed geographically by canon law as Latin Rite Catholics) for precisely these reasons. I attend my present parish (which is not my geographical one) because the liturgy is very traditional, the priests can be counted on to be solidly orthodox, I am never put into awkward situations by being pressured to receive from an EMHC (they use them sparingly), the parish is diverse and has an urban feel, and it reminds me of the parish I grew up in 40+ years ago.
I do realize, though, that there are people who choose denominations and parishes because those entities don’t condemn things that are a part of their lifestyle. To use one of the most obvious modern examples, many gay people like the Episcopal church because the mainline denomination (as opposed to some conservative, traditional “continuing Anglican” churches) does not condemn gay sex, and in fact performs same-sex weddings. I am merely stating the fact, neither endorsing nor condemning this, though anyone who knows me is well, well aware of how I view this situation (which is identical with how traditional Catholicism, and not just Catholicism, “views this situation”).
