Same.
I switch between a Spector Rebop 5 w/ active EMGs and a 35" scale and a Fender Aerodyne with passive Dimarzio P/J's and a 34" scale. They are apples and oranges across the board except that they are both strung with GHS Boomers. Med gauge on the Spector and Heavy on the Fender.
Each bass gives me a totally different palette of tones to utilize. I can't get either to sound anything like the other, which is kinda the point.
I don't think I would ever take both to a gig, rehearsal yes, gig no. I prefer to stick with one bass all night. I can drop the low string if needed, only takes a second to tune off the guitar once he's done tap dancing on his pedals and playing hot potato with three different guitars.
It's okay though, gives me and the drummer time to noodle some free form grooves or sometimes play a game show style theme for the poor guy while he struggles to not to drop his guitar for the second time that night. Crowds love that. One night we started jamming the Imperial March while he strapped on his all black Strat. People loved it.