vinegar contains citric acid,
Vinegar contains Acetic Acid, a much stronger form of acid, but it is diluted down to 8% or so content in store bought vinegar.
Vinegar will work OK, somewhat, just make sure you don't leave the brass in it too long (max of about 15 minutes) or the Acetic Acid will cause the zinc to leech out of the brass.
You will know if/when this happens when you see a pink tinge on the brass after soaking. Brass is made up of copper and zinc, leech out too much zinc and it will affect the strength of the brass.
As far as cleaning the brass, all you really need is to wipe it down with a damp cloth to make sure no dirt, grit or other nasties remain so your size die isn't scratched.
Lyman tufnut does contain jewelers rouge. It will not affect your size die unless you let it build up to the point your brass looks dusty with it. And then, only if you do so repeatedly, over many years. Steel, carbide and nitride are all exponentially harder than the rouge powder. The rouge is a polish, it doesn't contain any cutting agent. Of course you can easily avoid the issue altogether by adding a used dryer sheet, or pieces of cut up paper towel to your tumbler while it polishes the brass. Zero dust, zero problem.
If you're worried about any dirt inside the brass (range pickups), just dump the brass in a bucket and add some hot tap water and dish washing soap, shampoo, hand soap, car washing soap etc.. to remove the dirt. Rinse thoroughly and dry completely before storing or loading.
As Rusty indicated, remove the primer first. Otherwise, if you happen to be blessed with 'hard' water, you may experience a primer that is dried into the pocket with traces of minerals from your water. This will cause a PITA deluxe getting the primers out, then getting the pocket clean.
Brass doesn't have to shine, clean from grit, dirt (especially sand) etc.. is all you need.
Good luck with it.
'Slick