Does it matter which tire size I choose with a rim drive trainer?

Since I could use my trainer without a tire at all does it matter which tire size I choose for a 700c wheel? Does it have an affect on my watt output? Thanks!

Trainer: Minoura RDA80-R (Supported)
Sensors: Wahoo Speed, Cadence, Tickr

RDA RDA80R

For the rim that you are using what tire size would go on it?

Here is a tire size chart from Zwift, I don’t think there is enough difference between all the 700c tires that it would matter much (with zPower it’s just an estimate anyways): https://support.zwift.com/de/tire-size-comparison-chart-r1R1R1Bm