Popping is perfectly normal and a properly tuned engine does it all the time, your bike even has a system whose sole function is to introduce air to the exhaust to create this popping. The popping is nothing more than unburnt gas being burnt in the exhaust. Most of the time you won't notice it, sometimes you do, but it is not a problem. People usually only notice it when going with an aftermarket exhaust, but it was there all the time.
If the stabil had anything to do with it, just ride the bike and burn all that old winter aged gas. The best way to clean a fuel system is not to add additives, is just to flush it and add fresh gasoline, which already has a bunch of detergents in it.