Shop: “I was at an ice cream shop with a pretty good hechsher, and saw the lady working there use the same utensil first in Milchig ice cream, than to Parve.”
I think one has to apply caution and assume that when eating out in a Milchig environment, even eating only parve, one must wait for fleishig and vice-versa. So if you want only a couple pickles from the deli, no milchig for you for a while.