FWIW, I’ve used AlienBees before and since I work a lot and see so many wedding dresses, they *do* have a VERY slight color temp variance, but it’s not really a huge problem except for super critical things, and even then, non-super-critical clients won’t notice.
I have a set of Photogenic Monolights, and have to say I am VERY proud of them. They are from my former photography teacher, pristine condition and they have been popping for at least 30 years as far as I know. She chose them specifically for the lack of color shift. However, they are not budget friendly lights like the Bees.