This is kind of how I fan, too. I've spent substantial portions of my life in Minnesota, Wisconsin, San Diego, and Los Angeles. My first team is the Twins. My second is probably the Brewers. Third is the Padres. I was once an Angels fan but having watched that franchise waste Trout and Ohtani for so long, I can't really stomach them anymore. If they returned to not being so wildly incompetent, I may lightly cheer for them again.
But notice that none of these fandoms really conflict with one another. I'm not much of a Dodgers fan other than "Vin Scully" because it's hard to cheer on the Padres and Dodgers. That, to me, feels wrong. Others may feel differently and that's fine, too.
Fan how you want to fan. Just don't step on my toes with your personal preferences.
In the end, I just kinda like baseball. I'll randomly flip on a Pirates/Marlins game because it's so much fun to watch Oneil Cruz play short.