To my understanding, not really unless you owned a custom plate that's designed to fit both. I think by default the cherry stabilizer "square" is different size than the costar stabilizer "square".
Though I think I started out with costar stabilizer (Filco, Das Keyboard... etc) and I was under the impression that cherry stabilizers are mushy (tried the display demo on Corsair K70 and Logitech G710+).
But to my surprise is that the cherry stabilizers on Poker 2 feels really nice. People are saying it's because plate mounted ones the side stem mounts don't touch the PCB so you don't feel the "mush". Though I thought Corsair K70 and G710+ are also plate mounted no?
And to answer the OP's question, I think you're referring to the scratchiness, I believe you can fix this by lubing the side mounting sliders.