Welcome 97_watts

One of the electricians I worked with had a similar situation in a bathroom. He wired a night light (in-wall LED type) downstream from the GFCI. He was failed on this until he could reason with the inspector that there's probably going to be a night light plugged in anyways, and the night light had a rating of 0.1W (which is probably a lot more than it actually pulls). He said the inspector probably passed him because he was nice about it.

Make your point, but be respectful about it.

Electrically speaking, it should be okay as long as the calculated voltage drop is within the specs of the stove, which I'm sure it is (if it's too under voltage, the worst case scenario would be the electronic pilot doesn't light, causing a gas leak if the homeowner doesn't see that it's not lit. This could be one point he makes. remember, I said worst case scenario, as in, say, 1 in a million... blue moon... pigs fly... 3 legged horse won... you get the idea.)

By the way, is it an electrical inspector, or building inspector?