tubeless wheels.

With my current set up, using Maxis High Roller non-tubeless ready tyres as well, I don't experience any serious issues that I'm aware of. Even casing the rear end on jumps I've not noticed any loss of pressure.
I'm just interested in how a Procore type system would run as you can have the outer chamber at really low pressures, much lower than a standard tubeless set up and not have to worry about damaging the rim from impacts.

The whole point of pro core is to be able to run the outer casing at 10 psi or so thus giving you excellent grip. Also you are practically invunerable to punctures as if the out tyre cuts and won't seal then there is always the inner one to keep you rolling.

I think this is a great setup for off road touring and I want to use it one my single speed.

The lowest pressure I have been able to run tubeless tyres is 20 psi as below that I can feel them squirming in bends at speed. That is a 2.2" conti race king on a 28.6mm rim.

Wan't to try a set of hookless rims as apparantly lower pressures are possible but I wonder how to get around the tyre squirm issue.

Anyone suffered from mysterious tubeless deflations before? I've got a (non-tubeless) tyre all sealed up and most of the time it'll hold air for at least a week but on occasion I'll leave the bike overnight and it'll be completely flat by morning.

When it goes flat has any part of the beading disengaged from the rim?

Not that I'd spotted. I pumped it back up easily enough, without any air escaping or beads popping. The only correlation I can see is that both times it occurred the tyre had more pressure than I'd usually ride with (~50psi in a 33mm tyre).