Tq (or toff) is an essential parameter of a fast thyristor.
It is obvious that if this parameter is not even informed in the datasheet, it is not a fast thyristor.
Fast thyristors (including power thyristors) have a tq (or toff) generally between 5 and 50µs
Main's thyristors generally have a tq between 50 and 150µS.
Fast thyristors had been developed for inverters.
In this application, they were first replaced by GTOs (gate turn off thyristors, which was not a good technology) and they are now replaced by mosfets or IGBTs
Fast thyristors are absolete technology, which is why they are hard to find because they have not been manufactured for a long time.