Both my old gas stove, and really old furnace, would let a small amount of gas leak out for awhile, when the pilot went out.
I know when the pilot stops heating the thermocouple the gas should cut right out, but my furnace still leaked enough gas to alert me by the stink.
I finally replaced it, when the heat exchanger rusted out.
And my old stove did not have a thermocouple, at least on the top burners, anyway.
Each side had a pilot, and if either one blew out, very slight gas kept coming until I re-lit it.
After airing out the kitchen, of course.
Plenty of folks have moved an old stove to the basement for extra cooking, like for Thanksgiving, or to use in summer to avoid heating up the upstairs.
When I was growing up, they used to call that a “wop kitchen”, sorry no offense meant just passing on what I heard it called.