I used a CycleOps Fluid 2 wheel-on (dumb) trainer for many years with normal road tyres, usually 23c. My tyre pressure was around 100 psi and I used to set the drum pressure with about 2.5 turns of the knob to give a good contact patch and avoid slippage. If the contact pressure of the tyre on the drum surface is too high it will feel almost impossible to turn the gear over.
The difference between tyres on the trainer/turbo and IRL is that, with the former, the pressure isn’t being optimised to support the weight of the rider. You are simply trying to establish good contact patch between the tyre and the rotating drum.
I would recommend reading your trainer manual to see what they recommend (number of turns for tightening the drum) and then adjust your tyre pressure to get you in that range.