Nope. I won a monogrammed Taylormade 2019 flextech crossover stand bag as an award for my league and I don't play a single TM club. Hell I didn't even own a TM TP5 ball until this winter. It's to nice of a bag not to play.
I did have TM clubs in a TM standbag. This all goes back to me getting all my stuff 2nd hand. Replacing all my clubs after a fitting and will be Mizuno clubs, but I also have a Jones carry bag I'm going to start using too.
It is not necessary for me to have clubs and bag match. I used to carry around a titleist bag with taylormade clubs. Now I have a sun mountain. Whatever is comfortable and gets the job done. Really intrigued with the vessel bags tho.
I'm one of those guys that can't rep a brand that I don't actually play. There's enough options in my bag that I can play a Callaway, Odyssey, or Cleveland branded bag or something like a Vessel, Sun Mountain, Datrek, etc.
I'm the same way with my clothes. I won't wear a TaylorMade (or any other brand I don't play) branded hat, shirt, etc.
Edit: I do make one exception with the Hogan bag that I have. that thing is too nice to sit. I only use it when I play a course with decent cart paths, though. Most around here are dust and dirt. It's a white bag and I don't want to eff it up. I've used it probably a dozen times and it's awesome regardless of what name is on it.