Nope, if I'm coming in from out of town (or anywhere else) to do a gig, and I'm a bass player, I'll bring my own bass.
Not so easy with a doublebass.
OP, you handled it fine. Your spidey senses told you it was a bad idea and you offered him a great alternative. Almost definitely what I would have done in the circumstances you described.
I'm not saying that I'm free and easy with mine, far from it. But, if John Lilley was in a spot and I was able to help him, I would. I know he takes care of his bass and I suspect he would be even more careful with mine. If (for hypothetical example) Kevin Hsieh was in town for one gig and the cost or concern of transport made bringing his instrument across the country impractical, I like to think I'd help him out if I could. I'd also let him know who rents locally and if that was a better option for he or I I'd offer to broker it for him, since they know me and I them. There is a brotherhood of the bass that I benefit from and do my best to match when I can.
I've got a promise of a CD release in Alaska next summer if it happens, I'm going to look into renting or borrowing a bass there and would have checked here first. I would never assume that someone would offer to loan me their instrument, but the practicality of moving mine that far and hoping the climate change doesn't destroy it for a couple of down-market jazz gigs doesn't make sense. I don't know if there are shops there that rent or not. Doublebassists do have some logistical practicalities to contend with and our community is pretty supportive and understanding of those.
Electric bass gig out of town? I would and have brought my own. Apples and oranges. That's likely one of the reasons Uncle Leo invented the P-Bass in the first place. People got tired of strapping the Kay to the roof of the station wagon and hoping they didn't drive through a hail storm.