If the caravan has to be pitched facing uphill on a significant incline, where then I will leave the mover engaged.
This having seen, one self-take off and roll away downhill, thankfully the owners were not in it, nor did it hit anyone or anything.
I have also seen the aftermath of exactly the same, though not witnessed that event, where a new van was, I suspect, going to be written off through extensive smashing of its rear.
I know the parking brake ought to hold tight, but also know with our "autoreverse" brake feature, it doing that relies on energy we have to store in the spring. All an avoidable risk I don't want to inflict on us if we are on board, or on anyone unfortunate to be in a rolling caravan's way.
I can't see any great short term risk to the tyres from taking the loading of possibly a 100/150 kgs forced on roller. In my case, where the static force supporting the caravan is 950 kgs of dead load , that before we go onboard. Nor the immensely higher dynamic forces the tyre takes at 60 mph impacting all manner of road surfaces.
The Rhyno mover I recall, offered no cross actuation, and I can further recall them claiming that where stored parked too close to a wall, you could confidently store the van without unloading the roller.
On the other subject; our tyres are 215/15" so brutes and inflated to 65 psi, therefore applying the Powrtouch overcentre mechanical engagement cross coupled doing both sides is a very hefty task. The cross coupling doubling it compared to living with them separated, something I have thought I might do. It's doable as is but needs as Clive has said a telescopic or other long levered socket wrench. I am still pleased it is a simple manually applied device, powering and controlling a function that does not have to be is complication, with all that's ramifications I prefer not to take on.
As DD said, best leave that wrench in the driving seat area once mover is engaged pre any driving away.