I use both of dvb-s2 and dvb-t2 tuners. It's realy complicate and difficult switch between them.
I find it after couple weeks (a button as name as filter on top of channels list).
My suggestion is put a live tv input for each tuner
It will be really easier to access from smart home and inputs menue.
Also it will be able to watch channels from both tuner in multi-view.