Thanks @agedhorse, this is the way I always proceed for recording as the plug-in reverbs you can get nowadays are really excellent, but for the bass duet project I'm playing in, a tiny bit of reverb helps both basses (a fretted and a fretless) for live and rehearsals too, hence the question.
That said, I own an FKT Audio The Fretless pedal that includes a reverb, a chorus and a mid booster, so perfect for me, but my pal on the fretted would rather prefer a combo or a head with integrated reverb for "ease" of use.