I have an old gas stove, too. Gas has gotten so bloody expensive in Northern Ontario, we literally turn the feed to the stove off when not in use because pilot lights use gas.

Do you have to hold a little button down while lighting the pilot light? That button is a bypass on a box with a safety valve in it connected to a wee probe in the oven that confirms there's flame in the pilot light. No flame, probe cools off, safety valve closes. It's completely independent of the stove top. I only light my oven pilot light if I know I need the oven.

If your stove is REALLY old, like the one at my husband's family cabin, no such luck. It has no bypass for the oven, and all pilot lights MUST be lit or you're spewing propane into the cabin.

If you literally never use the oven, you can actually just disconnect the feed to the oven and put a cap on that line. You can do that yourself, but if you know nothing about gas fittings, better to have a professional come do it. The fitting probably costs $2, so you're just paying for their time and expertise.