Tinkering skill increases at Microbe Musher

Cooking station is what uses cooking (fries Musher). Tinkering is increased correctly ass it is a skill for interacting with machines.

I see, but only cooks (in Jobs list) will use the Microbe Musher.  Others with tinkering skill won't use the Musher.

Possibly a weird combination then Or it just rises cooking very slowly.

I agree it is a weird combination. The Microbe Musher will use the cooking skill in the next update.