MT only fails LinearComp systematically. It is not a bad generator, it is a very good generator. The biggest problem is the "escape from zero-land" stuff where it's biased towards zero for a while if its seed is mostly zeros, but other generators have the same problem (though not to the same extent) and it's still statistically very unlikely to be a problem and it self corrects as the sequence runs.

Comparing to ChaCha20, which is a CSPRNG, is a little apples/oranges.