Snow tyres need tread depth in order to work, little different than wet tyres need tread in order to do their job.

So I'd sooner choose a full tread depth cheap tyre over a bald branded tyre

Couple of years ago I got some Marix remoulds and they worked great. Only bought them as it was all that anywhere had in stock.
Bought a pair of Avon snow tyres a few months later in readiness for the snow the following year ( ie last winter ), and we got fuck all lol

Whatever you do, DO NOT fit only 2 tyres. You must do all 4 unless you want to crash.