I think that's a good way of putting it. I would addend that most people working in mathematics aren't generalists, their primary interest isn't in a broad picture. Rather, most are hyperfocused into a single domain with a strong backbone of reflexive intuition built up. By virtue of sheer human limitation, there's only so much someone can care about what's happening outside of their world while still making serious contributions within it. This doesn't even just extend all the way to shifting foundations, but number theorists can hardly be expected to keep up with the forefront of graph theory, for example.

For the pragmatists Logic as a field commits the immortal sin: it blasphemes the intuition that mathematicians spend years honing by obliterating it. Not just for a singular domain, but for all domains. Of course, that doesn't really explain the whole picture. Formalism built a holy walled city. Logicians, by nature of their work, leave the safety of the walled city to survey, exploit and die in the tangled jungle outside. Some don't even speak the holy language of the glorious walled city, they talk in absolutely gibberish modalities and hyperstructures. There is a political tension held against logic and logicians as a result.