Is it really a “red flag” to follow specific Gods/Goddesses?

I once had a friend that thought following specific Gods (for example Poseidon, Zeus, and Athena) was considered a “red flag” because they did bad things. Didn’t all of the Gods do bad if not morally questionable things?

This popped back up in my brain a while ago but I finally got the guts to post the question here! I’m mainly asking because I’ve been contemplating following Poseidon (I currently have an altar for Hermes, Hephaestus, and Artemis), but I worry about people’s reactions or if there’s a better reason to not follow him. I’m new(er) to this so all comments/concerns are more than welcome ❤️