I can re-iterate what Syag Lchochma said in parentheses, ‘and some stay forever’.
I know a group of people who are ‘Medrash Guys’ here in England. They are proud of their Yeshiva, their Rosh Yeshiva and their derech halimud and they keep together, and keep in touch with what is happening in the Yeshiva even long after leaving. I would say they are shtarker Baale batim. I also know that the yeshiva has produced many Rabonim of what’s known here as United Synagogue communities.