There is a grain of truth in both sides of this discussion...

A major airline will like, in addition to some sort of TPIC, to see some glass turbojet time just so they are comfortable that you can be trained.

Turboprop only pilots have a significant fail rate going to glass jets for reasons I don't understand (I've found it harder going the other way).

But for now, 121 TPIC is king, especially since you might have to wait 5-8+ years to get some. RJ SIC you can always get if needed.