It’s part of the problem, yes. In general, high temp filaments require a static Z-offset to account for the nozzle expansion. See: HIgh Temp Filament 1st Layer Compression (Nozzle Expansion)
Another part of the problem is that the touch sensor is inaccurate (for some people?) and doesn’t give a consistent first layer height.
And finally there is the problem that the bed mesh compensation doesn’t seem to fully account for the shape of the bed. At least in my case.