The thing about pneumatic tires is that the casing is
MEANT to flex sufficiently to let the tread compound heat up & reach it's optimal temperature... it actually
needs that flex & the consequent heat build up in order to provide traction as well as to act as another 'shock absorber' component integral to the proper functioning of the suspension, and that flexing also allows the tire tread (& casing) to flex enough to effectively 'wrap' over sharp pebbles, stones, etc on the surface of the road that could otherwise cause punctures.....
Pump your tires (trailer, bike, car, truck, it doesn't matter!!) up to their maximum pressure
without the specified maximum loading on them, & you not only won't have tires reaching the appropriate temperature that allows their tread to grip the road surface in the manner designed, you already know you are gonna be wearing out the tiny little strip in the middle of the tread that is the only bit of the tire touching the ground, AND you are also compromising the suspension & it's proper function (might as well run the trailer on the steel rims?!) AS WELL as risking explosive tire failure if you hit anything hard/sharp enough to blow the tire, it doesn't need to be very sharp, just raised & a little pointed. Don't believe that last bit?! Try blowing up a balloon as hard as it'll go without bursting, then just stick your finger or a blunt pencil into it, hard - who's gonna bet that it won't burst?! Cos it will!! It's really easy to burst a balloon (or a tire) that's blown up hard, but blow the same balloon (or maybe another from the same packet, cos the first one you already burst, didn't you!?!) up to
half it's maximum pressure & then stick your finger or a blunt pencil into it just as hard as you did earlier to burst the first balloon, & it's very unlikely that you'll burst it!! Simply because the balloon has a fair bit of flex that allows the outside casing to wrap around & absorb the intrusion, just like your tires can if they aren't blown up to their max pressure without the max load on them!!!
As for the bouncing thing & your 'doubts' about loss of control;
ANY bouncing that isn't damped by the tires (at an appropriate pressure for the load) & the suspension working together means that the trailer is
already spending at least some of the time
OUT of CONTROL; & remember, your tow vehicle is securely fastened to that.... however much or how little weight you have back there - PLUS all the momentum that the bouncing around brings with it..... It really doesn't take very much weight or bouncing back there to cause dangerous 'uncontrollable & unrecoverable' loss of control under some conditions, & those conditions are something that you won't necessarily know have been met until it's too late & you've lost
more control than you have already just by running your tire pressures high enough to let that trailer bounce in the first place!!
Why run the risk? Why run
ALL those risks?? :shocked: