Sorry, but this whole doesnt make much of a difference in cars below 300bhp is just a rediculous thing to say. The main difference there is putting the power down, which is contollable by the driver via a long pedal on the right hand side of the drivers footwell. Braking and loss of stabilty & traction etc in wet and extreme conditions is what is being debated, and those factors are far much less controllable by the driver.
I'm sorry mate, but the quality of the tyre mesh doesn't affect your braking substantially enough, it's the condition of the thread, the pressure and the brake quality that do affect this. The 300hp thing is because you're stopping a 180mph car, nothing more.
The mesh per se only gives extra grip in certain scenarios, not extra braking power, it's a myth. The real issue with meshes is longevity of the tyre.
Thats like saying if you drive a Nissan micra you might as well put the cheapest & hardest tyres money can buy on it, because its below 100bhp. But the tyres are small, the suspension is basic and the brakes are small so high quality rubber is far more important to make up for the lower tech parts.
as I said before, if you expect to address these shortcomings by putting Toyos on a Micra, then you're in for a sore disappointment. Tyres are designed to perform according to speed limits and safety regulations, but even the "good ones" can't make up for certain shortcomings or poor driving.
The problem with tyres is perception over time and driver's skills, there's no perfect tyre that makes everybody happy.