We are talking road cars here and stil above 32psi
I've seen some one pop a tyre from too high a load on low profile high pressure tyre. Was once but always made me wAry, Also seen tyre come off the rim from too low pressure but was stretched on the rim.
I've found cars skitish in the wet on too high a pressure, stoping it couple psi brought the road holding back on normal roads in normal driving. I do tend to run slightly higher pressure in the rear tyres when not carrying a load compared to the fronts, 38 to 40 and drop it to 36 when loaded, seems to cushion the ride in my experience.
In my other car 40 to 38 psi all the time but your talking bout a highly modified datsun