Actually, I always wanted that. A Stratocaster-Bass. No joke. It must be the Ritchie Blackmore in me, but deep down inside I long for a bass that looks exactly like a Stratocaster in long scale bass size, single coil pups, tremolo, Strat input jack and all. And in white.
Not to forget a scalloped fingerboard. All frets. All the time.
I'm not aware that any Jap knock-off, boutique much less Fender or the Neo-Fenders (EBMM, G&L) ever offered anything of the like. Which is weird given that G&L at least did a credible (if neck heavy) take on the Telecaster guitar as a bass via their Asat.
Somehow, neither a Jazz Bass nor a P-Bass look like a Stratocaster to me, the P lacks any elegance of the Strat and the Jazz has a nice shape, but is too feminine. I can't even put my finger on the difference of the Strat shape to these two others, but there is one, right?
As much as I am a Gibson man in basses, I have this ugly subconscious bias
that "real men guitar heroes" have to play a Strat. Hendrix, Blackmore, Clapton (I prefer his sound with a Strat, now crucify me Cream fans!), Gallagher, Gilmour, Nile Rodgers, SRV, Beck (in his later years), Uli Roth, Wah Wah Watson, Yngwie Malmsteen and EvH (in his early years) left an imprint no doubt.
I even think that guitar heroes using the more comfortable Gibson guitar scale cheat a little, a controversial statement, I know.