honestly? i'll likely side-eye anything that lists itself as 'christian/catholic' anything if it doesn't have any real reason to be promoting religion in the first place. why? because christian run places are incredibly bigoted and biased against a lot of things. take the salvation army, for instance. supposed to be something that helps the downtrodden and homeless, but only if you're not gay or transgender. then you can go fuck yourself. so yeah, when an organization promotes itself as lgbt owned, i'm less likely to think twice about trying to get a job there than i would be if it was christian owned, because jobs like that can and have fired people over dumbass shit like buying birth control or being lgbt.

so in answer to the main question, it depends on both what the job is (do i really need to know your cake store is lgbt/christian run?) and what it is they're promoting.