This makes me wonder, is copper anti-seize, or silver better for stainless? Especially for the very soft 303 or 304 stainless....
Nickel for stainless.
Anti-seize is not a grease, it's oil with metal (and other) components in solid form. It's use (depending on the application) is very sciencey. It can be a lot of things in chemical/physical reactions, from preventing reactions, to causing reactions, to just "who cares but it's thicker than oil...
Aluminum/graphige (regular, cheap) anti-seize isn't "evil" in a stainless joint, but it's not that beneficial, and if temperature is an issue, it's poor. Nickel is good for (among other things) stainless to stainless, and stainless to aluminum. Copper is fine for a lot of things, but it does react funny with stainless, and in most common joints (steel to steel, steel to aluminum) it messes with galvanic potentials and drives several undesirable reactions. Over some time. None of these "blow up in your face" or anything like that...
It's crazy stuff that I don't even try to keep up with any more as the chemistry, while I can understand it when it's spelled out, goes way over my head to the point that I don't even try to "figure it out" any more. But yeah.... Stainless to stainless and stainless to (almost) anything else gets nickle.
And if you happen to be torquing something where it's warranted, or in my case with the sidewalk sanders I mentioned, when playing with stuff that warrants no such thing, but you drag out the torque wrench while investigating problems and/or just to keep your click elbow in calibration... Check out the nut factors on that stuff if anything's threaded. (Reputable brands provide that, but it's probably on the website, not the bottle). It'll blow your mind how much that will adjust the desired torque to properly tension a fastener, or in the case of a machinist jack, how little force it'll take when you "snug it up", to lift a part right out of a vise... They're all a little different, but overall, generalizing, and on new fasteners- It'll be different by product, but something on the order of cutting the actual tightening force in half to achieve the correct preload. You can break stuff without even breaking a sweat if you don't adjust for it... Crazy stuff.