For most metals the alkaline liquid is way less a problem than the acid from the vinegar. At best you get a slight cosmetic effect in having a not so blue surface, but any acid left will promote corrosion on copper / iron / nickle. The alkaline solution is only a problem for aluminum / titanium / magnesium and similar, but not to copper or iron.
Even if neutralized, the salt will still be hygroscopic. So you need a flush of water anyway.
Water is at least as good as vinegar and much less risk. It just washes away the alkaline solution like the salt you get after neutralization.
If you really want an acid to neutralize, phosphoric acid would the much better choice. As a quick fix one could try a coke.