If it's a direct-thread suppressor, that you're going to be unscrewing on and off after every shooting session or hunting trip, then yes, I would use some anti-seize on the threads. Loctite C5-A copper anti-seize works best for high-heat applications like barrel threads and suppressor threads.
https://www.amazon.com/dp/B000LDDOXG/?tag=lrhmag19-20 I use it for building AR uppers. I always use it on the barrel nut threads, and on the barrel extension before installing it into the upper, that way if I ever have to remove the barrel, it won't be heat-seized on there. Also, if you're a car guy, C5-A works great for any bolts or nuts around a turbocharger, because of the extreme heat they build.
If you're suppressor uses a quick-detach mount, I would still use the anti-seize, but only on the barrel threads when you torque-down the quick detach muzzle device (which stays in place when you remove the suppressor). I wouldn't worry with using it between the suppressor and QD device.