JMO
For a soft finish, i have had good luck with using powered pumice. It is cheap and breaks down during use to a satin finish. Use a paper towel, or a finger and be working outdoors to use it dry, as it is dusty. Or, it can be used with an oil or water.
As to the ghost ring around the etch, where to acidic solution bit,it requires use of a Mylar backed abrasive, which does not flex into the etch, to be really removed. The abrasive should be wrapped around a rounded surface so as not to dig into the etch.
YMMV
~Richard