DAT entered the market at about the same time as CD, but was much less successful. For all its notional advantages, DAT never really caught on in the domestic market
Audio distribution dominates the consumer market and CD’s can be pressed much like a vinyl record. Basically, producing a full fledged CD takes about the same effort as manufacturing half the cassette case for DAT.
A CD is a mechanically stamped plastic widget. A DAT tape requires a BOM and assembly before loading it with data.
The CD stampers were expensive to fabricate.