Screw down crowns are unnecessary for Scuba diving.
When Nuno Gomes set the world record for the deepest Scuba dive he was wearing a G Shock Frogman and not even a then current one but an older vintage model. G Shocks Frogman have pushers only, which can be used underwater and which rely on gaskets only to maintain water resistance.
Screw down crowns may prevent unwanted time changes but it is the gaskets that provide the WR. However, screw down crowns are a point of failure on a watch, push crowns are less likely to fail.
Mitch