Alcohol is a good sanitizer -- meaning it kills living cooties. If you're making lotion or salves where you want to minimize the living organisms in your products, then it is a very good idea to sanitize your work area, tools, containers, etc. I don't bother when I make soap -- I just make sure my work area is reasonably tidy as normal.
Vinegar, an acid, does neutralize alkali. If it makes you feel better to spray vinegar around your work area and rinse your utensils with it, then do so. You aren't going to harm anything by using vinegar on items that can tolerate normal soapmaking ingredients.
That said, just a good rinse with water is fine for cleaning up anything that's been in contact with lye -- lye container, counters, whatever. All that is strictly needed is dilution with plenty of water.
For cleaning soapy or oily bowls that may also have lye on them, I wipe the items with old towels to remove excess soap and oil residues and rinse the items well with water. I then use a synthetic detergent cleaner like Dawn and hot water to do a final wash. The soapy/oily/alkali-covered towels go into a plastic bucket far out of reach of curious hands and paws. Once the residues have plenty of time to saponify, the towels gets washed with dirty chore clothes.
For the sake of those who may have heard to use vinegar to treat a lye spill on your body -- DON'T. Never, never use vinegar on a lye burn to the body. The correct first aid is to rinse with plenty of plain cool running water. The faster and more thoroughly you get the lye rinsed off, the better. If the burn is on or near the eyes or mouth or is a deep or large burn, see a doctor for treatment immediately after you have rinsed well with water. Otherwise, treat small, mild lye burns just as you would any second degree burn. Keep it covered and moist. No oily salves, butter, or other fatty stuff.