Sort of.
I have basses that stick with flats and rounds and I have some where I change the strings.
My P is always Monel flats and I use it for old proper RnB, big band etc, and of course Iron Maiden!
My PJ-Ray5 has rounds because I’ve never found a Flatwound B that was worth having. It’s quite bright and needs a lot of EQ adjustment to make it work right in a 25 piece big band. But it’s fantastic for anything more modern. It’s also the bass that I will use if I need to tune down with some heavier strings. I do find that the lower tuning I use, the brighter I want the natural tone of the bass / strings to be to lower the chances of flub.
My Sandberg TT4 (Jazz) is very string dependent. With rounds it’s very Marcus Miller. With flats it’s got a great old tone. If I want to play it with the big band I put flats on it. For anything else it gets rounds. Fortunately it has a slotted bridge so swapping strings and saving the older ones is dead easy and I don’t have to thread the coiled string part from the headstock through a bridge hole. Sometimes the big band set has some modern funk arrangements where the the Monel flats don’t really work for slap parts so I might experiment with some Pressurewounds so see if I can get a good compromise.
Those are the 3 that I use the most. If we ever get to rehearse or pay live again I expect my new Ibby medium scale to feature a lot too. Until then I’ll just have to imagine what it sounds like in a live mix. 😢