The people who object loudest to an evil, filthy electric Bass played alongside their lovely acoustic instruments tend to be people who are more concerned with image than sound. If you're doing a live radio session, the engineer is less likely to have a coronary if you turn up with a good sounded 'leccy Bass and amp than if you appeared with an awful, cheap upright or a next to inaudible acoustic Bass. And this comes from someone with a perfectly lovely acoustic Bass. If you have the luxury of time to eq it and balance mics correctly with an acoustic Bass, then it's an option. But you won't, so it isn't.
If you can blag a fretless for the recording, that can sometimes appease the naysayers. I picked up an Ashbory recently for not a lot of money (from this very forum, natch) and that's what I'm taking out from now on for those sensitive moments when 20th century instruments don't appear to cut the mustard.