How about burning the oxygen with a small flame inside the bottle?
But if the combustion particles can be controlled, there’s no reason this wouldn’t work.
Sounds like an innovative idea!
https://en.wikipedia.org/wiki/Hand_warmer
> Air-activated hand warmers contain cellulose, iron, activated carbon, vermiculite (which holds water) and salt and produce heat from the exothermic oxidation of iron when exposed to air. They typically emit heat for 1 to 10 hours, it usually takes 15-30 minutes to start to heat up, although the heat given off rapidly diminishes after 1–2 hours.[5][6] The oxygen molecules in the air react with iron, forming rust. Salt is often added to catalyze the process.
It's not going to be perfect, of course, you're only burning things - tons of oxygen is left over, it's an imperfect process on its own. Achieving a perfectly-deoxygenated environment isn't the goal though, extending the wine is.