I've seen two people bolt to the surface because of that (and then have to sit out the second dive. Apparently the captain didn't trust them not to do it again)
On boat I usually dive with if you make an emergency assent you don't dive a second dive. Even applied to a crew member who had equipment issue at 70 ft that resulted in no air. Put on O2 for a bit and if seem ok boat dives again but they do not.