Thanks, although I don’t understand why there’s no point in originally asking if I didn’t know the answer?
Isn’t that the literal point of a question?
It's a good question.
It boils down to two things:
1) Are you going from the set of strings currently on the bass to a new set with different gages and a resulting noticeable difference in the total tension (think of it as string pull in total) due to that change?
2) The particular stiffness of the neck on that bass. Wood and construction techniques can give you a neck that is very, very stiff to other examples of the same thing that would be more flexible (or more easily affected by large difference string changes). Simply put, wood just varies, from cheap basses to the most expensive and carefully built, so no two of the same thing will be exactly alike strength and flexibility wise.
That's the technical part.
In real life, generally
most basses would not show or feel much different going between the two string sets you mention here. As others have pointed out, the tension of the two sets seems to be pretty close to equal.
I'd simply string it up correctly, let the strings stretch out and stabilize and just play it for a while and see IF you feel any difference. Music Mans are usually very sturdily built, I'd be surprised if it reacted at all, and if it does it should be just a very slight difference. I would double check that the intonation is still correct, I would expect a small change there.
We generally see a setup adjustment needed if you were going from a lighter set to a much heavier set of strings, or any number of possible changes that could prompt one.
Over my many years around basses, I've had basses with necks so flexible I could easily push on the back of the peghead for a wonderful vibrato, all the way to others I could completely unstring, leave unstrung for a day or two, only to have it go perfectly back in place when I installed new strings. Wood and the construction method, the fingerboard wood, the type of truss rod and other stiffening installed, everything can contribute to this in terms of how much setup a given bass is going to take over time.
I do recommend checking setup on a bass twice a year just to monitor what it's doing, and correct small changes IF any occurred before they long-term into real problems, and with most axes, little or no corrections may be needed if you run the same string set all the time. Personally, I've done this long enough I can feel if they're wandering away and need a tune-up, but again, I've been at this a long time.
Good question. I hope this was a good answer.
All the Best,
JW