I always see BSA scopes advertised in catalogs, but I don't recall them advertising their warranty.
I would never buy, other than for a .22, any scope that did not have a lifetime warranty, that is the bottom line. This is a long time investment.
It's bad enough wasting ammo and time on a malfunctioning scope without at least getting it fixed. Oh and I forgot, how about when you get a bad scope and you think it is your gun or your mounts or your loads. That's a real joy. Cheap Gets expensive in a hurry.
Read the threads in GB. You need to spend at least around $100-150 for a scope. Look at Mueller and Bushnell.
It really is not worth it. Even if a cheap scope turns out to be good, you will always wonder when you miss or if and when it will break. Take it from an old cheap skate. One of the secrets to long life is elimination of worry.