
I think on the pieces that I have shown, the lines/scratches around the diameter are due to the article being turned whilst the abrasive (possibly a wire brush) was held against it. I have a couple of other items that have uniform looking frosting with no obvious lines or scratches but I am convinced are abraded mechanically. I think like most things, they could probably achieve a wide variety of finishes depending on the quality of the item and how much time was spent.
I have a modern (1980s?) Jon Art object that is acid frosted that I was getting ready to post. The photo below shows a closeup of the finish compared to that on the decanter in this topic. The photos are the same scale with a pin shown for comparison. The mechanical abrasion (on the left), I believe leaves a surface that looks like tiny chips, the acid etched finish looks like very fine condensation with more rounded tiny pits. The antique acid frosting may well look different to this though, but I think it should be noticeably different to the mechanical abrasion.