For all its notional advantages, DAT never really caught on in the domestic market, although it was somewhat more popular in professional applications.
It was positioned and priced as a professional device.
In 1990 you could get a decent portable CD player for about $100. That was enough for most consumers.
Plus with a cd you could skip directly from track to track. No messing around with fast forward and rewind to find a song. Unless maybe DAT had that functionality? I never used it.