Every helicopter that I ever maintained had conventional wheeled landing gear. The only exception was the HTL-1 (Bell-47) that came with wheels and we changed those for floats when we went aboard ship. In many cases when landing on a small flight deck with the ship rolling while breaking ice the pilots had to land athwartship. This made the ground handling of the helicopter extremely dangerous and many times we almost lost it over the side. This particular helicopter (HO3-S) had tricycle landing gear and there were no direct acting brakes other than the parking brakes so the instant it landed we had to attach tiedowns from the landing gear to the deck. Another major problem with this landing gear setup was the possibility of getting into ground resonance during start up as the helicopter would be moving on the shock struts and the three blade system would go out of balance during start up. The problem of movement during landing was somewhat solved by placing a latticework of heavy lines across the deck. This however caused another problem and that was moving the helicopter to make room for the next one to come in for a landing. The other one was the HTL-1 on floats. To facilitate ground handling of this helicopter we used a hydraulic jacking system mounted on a dolly. The dolly had small wheels and these too would get caught up in the latticework of the lines.
The egg crate concept came a bit later and this was even worse as the helicopter could not be moved once the wheels were inside the individual boxes of the egg crate.
The Canadian Navy eventually solved the problem when they invented the beartrap system. A system similar to the beartrap was installed on the DD-963 destroyer series to facilitate both landing of the helicopter by winchdown and then translating the trapped helicopter into the hangar.
So it boils down to what works best for the application. Regarding the US Military not buying skid mounted helicopters I believe they are still purchasing the latest models of the AH1 series with skids. I think it could have been better stated that any new contract build helicopters would incorporate conventional wheeled landing gear. The last three major contracts for Army helicopters include the Apache, The Blackhawk and the Comanche and all of them have conventional landing gear.