Didn't somebody back at the old place make a Strat bass?
I never really inderstood the appeal of Strat-shaped basses. Leo Fender redesigned the Precision bass in 1957 to match the Strat aesthetics, to him this was the Strat bass. And the Jazz Bass was the bass companion to the offset guitars.
They appeal to players who like smaller-bodied basses, especially short scale players.
The Mustang bass has a body smaller than a Strat. I don't see why you would put 3 pickups in Strat locations and angles on a bass. It makes no sense other than keeping the distinctive look of a Strat. To me, a 3-pickup Strat-shaped bass says "I wish I were a guitar player". But that is just personal: I don't feel the same about LP- or 335-shaped basses, Gretsch hollowbody basses etc. Maybe because there were so many Epi Rivoli's in the 60's.