Re: POS scope= loss of accuracy?
Any "weak link" in your rifle's setup has the potential to negatively impact accuracy, reliability, etc., etc.
Certainly a "POS scope" as you indicated isn't going to help you decide if your rifle is shooting up to its potential. BUT...the equation doesn't just stop with the scope. Perhaps most importantly is the person squeezing the trigger. From there, you have to consider the ammo you are using and whether it is appropriate for determining "accuracy," the basic setup of the rifle (i.e. - is the barrel free-floated, if it is, is the stock or some other object making contact with the barrel when you are shooting, etc., etc., etc.), and let's not forget what you are using to mount the scope to your rifle (incl. scope base and rings and whether or not you have everything properly mounted).
The laundry list of things that goes into the equation is long and without more info, its hard to tell. Specifically, the specs on your particular setup, what kind of ammo and under what conditions you are shooting (envir., shooting position, bipod or benchrest, etc.), and what kind of accuracy you are actually getting (or what you perceive the problem with the scope to be other than "crappy scope affecting accuracy").
Look forward to hearing more about your difficulties. (oh...and welcome to the Hide).