Not sure what CPS means but my understanding is adapters are brand specific because callipers are too. Avid callipers aren't the shame shape as Shimano etc.
I had a second hand bike with an XT calliper on an Avid mount. The brake failed because the calliper mounted on the Avid adapter ended up further away from the axle than Shimano intended. This left an unworn part of pad at the top of it, eventually the two sides met with the rotor spinning away, friction free, in the worn away area beneath.
So I'd either get the right mount to match the brake brand, or (what I did) is step back to a 160mm rotor on the front, directly mounted on the forks, which is plenty for my needs, and probably most people's UK riding.