The only brined red meat I smoke is when I'm turning a corned beef into pastrami.
I don't really consider pork to be a red meat but that's just my opinion. I wonder if there's much functional or definitional difference between a brine and a cure. I do know that there are some meats, usually Italian in origin like capicola and salami that are cured and never cooked before eating but on the other hand we have bacon and ham that are cured and must be cooked.Great point, Chaz! I hadn't even thought about the fact that corned beef, hams, etc. are in fact brined red meats.
The additional moisture seems to help in keeping them juicy after cooking, and to me seems like it may make them more tender, though I cannot justify a tenderizing effect with any science. Could be psychological.