Well I post on my CEO alt because this is what I am active with in the community (guides, blog, giveaways and stuff so started being active on this) and because of that I prefer to stay logged in on the EVE authentication website with this character (different account too compared to my main) because whenever I check my EVEmails through a third-party website I have to use the EVE authentication website thus if I was switching to my main I would need to sign in and out of my accounts on the authentication site, and that is all too boring and troublesome and am too lazy to do that.
However I never hide who my main or even key alts I am actually active on are, I even have a public blog where most of them are mentioned (and on the forums too) thus there is full transparency. Not sure if that is enough for some but as it is complete honesty I don’t see why anyone could complain unless they are some capsuleer version of a karen which just makes their complaint invalid to begin with. 