If the pipe’s cold then any ammount of ventilation will just draw moist air in from the kitchen and cause more condensation on the pipe.
If you want a cheap way to rule it out though then silica can be bought cheap as cat litter (check, there are a few types).
Stick a few kg’s in a big baking dish in the oven at it’s highest temperature for an hour or two, if you’ve got accurate scales you can weigh it and see when it stops geting lighter, then put it in the cupbaord. I did it after flooding a kitchen and it dired it out so thoroughly that the plaster behind the cuboards cracked.
I dried it with towel and didn’t seem to be any “seepage”, plus water dripping from tap handle isn’t from a leaky pipe.
Mine was, a drip from the stoptap, turned into a dribble, turned into water pissing out.