(You're going to end up with your head hurting if you continue with banging it against the wall!)
I've long thought that tyres should be type-tested for grip; the worst ones should be outlawed, and the rest given as assessment to enable informed buying. In the meantime, only fitting a recognisable make is the best way to ensure safety.
My last car came with some crap tyres on; the fronts were almost new, and the rears were both over 4mm. I initially thought I'd use them for a while. It was raining when I collected the car; by the time I'd driven the six miles home, I had already decided they had to go. They were positively dangerous. Even at modest speeds, the front was sliding. I tried a firm, but not emergency, stop, and the rears locked. This was with a make/model of car I'd previously driven for 10 years. I had four new ones fitted the next day.
It's always struck me as crazy that the MOT, ostensibly a test of safety, includes a check on the presence of a VIN plate, but no check for correct tyre pressures.
Chris