This is the basis for a never ending debate without any absolute answer....
The main reasons, as I have been led to believe, that they are not paid a whole of attention by sword collectors in general comes down to:
-they are expensive. most collectors would rather spend the money on a sword with history.
-they are made to be admired rather than used.
Do not think though that they do not have their fans. I know that Tanobe san of the NBTHK has a large collection of shinsakuto.....And there are many others in Japan that admire and collect them.
After the war, in an effort to save swords, the Japanese authorities convinced the US occupation that swords were not simply weapons, but art. This was the beginning of the transformation. They have been "art" ever since.
In the early showa period there was an annual imperial art exhibition. In showa 9, if memory serves me, Kurihara Akihide successfully lobbied for the inclusion of swords along with the usual items. Due to the controversy that ensued, this was the first and last time swords would be included. This is the genesis of the independent yearly war-era shinsakuto exhibit promoted by Kurihara thereafter...