I live in an arid, dry climate - so drying between shaves isn't an issue (though I do hang the badger). I bought a synthetic for travel & those times where I have to force a quick dry time.
If you squeeze the brush and wipe it on a towel this might be a problem. If you whip the brush 12-20 times and leave it on an open shelf I believe it will be dry well before 24 hours are up.