Don't know if H was any worse than D in that aspect, A.A.,
But - there were other reasons such as..
1, Availability - there were thousands of D's built & spares for them,
whereas the majority of H/L production orders were cancelled after <600 built.
2, Serviceability - the V-1650 was out of production & the highly strung -9
was a bit of a hot-rod mill, fettling/rebuilding them in primitive conditions in Korea would be a big ask, & further, the SAC had the luxury of huge concrete
run-ways for the smaller/lightweight H model wheels, no rough & ready strips
to have to cope with..
3, Would've SAC handed over their assets to Tactical Command?
They pulled back their F-82s from Korean ops for strategic defence pretty quick.