Polishing a lens is NUTS... Those things are refined to nano-meter. Polishing is at the nano meter level.
An eye-glass lab won't even polish eyeglass lenses because of perscription changes.
Just keep using it. I haven't even bothered with filters on my Hassy lenses (protection). They are tough.

I use Steve in Livonia Mich for my tune-ups.. Used to use Grabowski... but I think he is retired and Ghil is nearly done too.