Glad you brought that up. This is the scenario:
You have X set of strings on, they’re broken in how you like them — that state is the string’s “mojo”.
But you want to experiment with a couple of other sets of strings for this bass. So you take the set off, try a new set, don’t like it, and meanwhile you need to put that first set on since it’s broken in just how you like it and you have to go play.
Then you want to try the 2nd set of strings you’re curious about. So you take off your 1st again. You don’t like that 2nd set. So you put that 1st set on again, and when you do, that set has lost something.
This is the original purpose for my question. With flats, you seem to be able to move them across several basses and they won’t change much (if they sound different, it’s most likely because they are now on a different bass).