Agreed Bazza. (ie. Crossply/bias tyres weren't designed for low pressures ...but when run at low pressures in mud/sand/snow they perform better than radials .... And more plys tend to give them extra advantage here ..as well as resisting side-wall punctures better .)
The way I look at it is ....A stiff sidewall makes a tyre resist "deformation" which makes the "bulge" act more like a canoe paddle in mud/softsand.
But having said this, I think 10-plys are likely to be so stiff that they will heat up fast when run at low pressures. So I think they wouldn't be able to be run far/long like this before the rubber starts to deteriorate/separate.
Which of course is a long-winded way of saying exactly what you have said.
The flat-spots on bias/crossply tyres don't worry me as much as the shortened tyre-life (compared to radials) Herbs.
I thought this thread was confined to spit-rims Bazza (which of course must have tubes regardless of what type of tyre is in use).. In which case ANY tyre that loses its grip on the bead will tend to rip the valve out.
Best way to guard against this problem is to run rusty slit-rims. (Rust grips the rubber tyre beads really well!)
(Or run a B-diesel like me.... in which case you're struggling to find the power to make them lose grip

)