Bonnet Cap in Chrome

On the Bonnet Cover Cap shown above there is no band of ribs visible. On my cap there is a 1/4 inch band of ribs that looks like where to apply a pipe wrench to unscrew the cap (countercw) if it does not unscrew easily by hand. When I apply the pipe wrench with power nothing unscrews. That cannot be good. Does the upper portion of the cap unscrew leaving the part with the band of ribs in place? If so how? Is a strap wrench needed or is hand strength enough? Is counter cw correct? I am ready with a ball RP212F that matches the ball tip I see that is sticking up from the cover I want to remove to replace it if needed. The faucet spout itself not the body or base (looks like a 501 or 522 model) is sometimes leaking but always stops if the single faucet handle is moved slightly left or right. The leaking cannot be consistently demonstrated. Part of me wants to leave it alone....but .... since I am the owners handyman I am not voting.

I had a granite countertop installed. The hole drilled is too small for my faucet to drop all the way down. It has an estucheon (cover plate) but it won't work because the sink is curved on the back. Will a product like this work to hide the plastic part sticking above the countertop?