Twinkle silver polish is meant to be used on any brand of sterling silver. I've used it for Tiffany silver (both jewelry and holloware), antique silver flatware, 14k and 18k yellow gold jewelry (as the alloys in gold tarnish a bit, too), etc.... I've tried other brands over the years, but always come back to Twinkle (my mother knew best on this

).
Interestingly, my Hermes silver pieces have never noticeably tarnished. The first piece I purchased is over 11 years old! My SA did say to wait as long as possible to polish, as she said Hermes applies something to help retard tarnish. I've also always stored my pieces in the provided Hermes boxes, which I lined with layers of "Pacific Silvercloth" which also inhibits tarnishing. But, when/if they begin to tarnish, I'd absolutely use Twinkle on them.
When using, I apply with a soft cloth, like an old T shirt, gently rub to polish, and also use a Hagarty horsehair brush in crevices, as needed. Then I thoroughly wash with dish soap, rinse, and dry. Hope that helps a bit!