The main problems were that it was obsolete by war's end. For starters it was made mainly out of wood... even Amelia Earhart's plane was made out of metal for strength... in the 1930's. In addition, it was a flying boat, it couldn't land on a runway which makes it a poor choice for a transport as it was invisioned to be.
I guess that being made of wood is why the deHavilland Mosquito was such a failure. Totally obsolete, too slow, not good for much of anything.
Sarcasm aside, wood is lighter than metal, so is
sometimes a superior building material. The Mosquito is a good example, Marcos built all-wood racing cars through till the late 60s, and Morgan still uses aluminum over ash bodies. Wood is still an extremely popular material for building boats, which kinda makes sense for the H-4 as it was a flying
boat.
Maybe the H-4 could find a post-war niche doing trans-Pacific passenger service.
@Canadian Goose - A pilot has told me that landing on water is more difficult than landing on a runway, something about currents and there may have another reason or two why.