I'd hope not, but in all manners of things, people tend to identify with groups with whom they relate or respect. Even with things outside of gender, I find identification is a much more free and accurate judgment when I'm not looking at certain groups as good or bad, but that option is not always available. I was raised to believe that Catholicism was true and gave it the old college try despite not ever "feeling" God or Jesus or any of that, and I aligned my prejudices accordingly (albeit rather weakly). Gradually and eventually I "escaped," and I held some amount of resentment dogmatic religion in general, and I dropped religion entirely. Nowadays my dissatisfaction is more specific (about various institutions and people, known and unknown, who have made harmful choices, for making those choices) rather than Catholicism or religion as a whole, and I currently attend a UU church. I think this nuance makes my agnosticism even stronger, since the foundation is built on more-enduring beliefs and issues of merit that transcend society as we know it, and it is unconcerned with whether the belief is morally-right or morally-wrong but rather what I think is true.
"Admiration" or respect is one thing, but when the scale is tipped in such a way where one is regarded as intrinsically better than the other, then one can feel awfully tempted to identify accordingly, despite it not necessarily optimally serving oneself. I mean, I correctly resolved my agnosticism pretty soon after becoming an adult, but it took me a while to find there could exist a way for me to function within a "church" in a sense. What helped in this discovery was realizing that there could theoretically exist a church that could do something for me (besides just letting me dress however I'd like, but it does that, too). Letting the raw frustration with the Catholic church (and various fundamental churches which have made big splashes in terms of policy and attention over time) ease up helped me better identify what my deeper feelings called for.
Yeah, I could see how that can happen.