Anyone saying that programming as a profession won't exist after a year or two are simply wrong. Period. There's literally no reason to think that would be true, and tons of reasons to think it isn't. Especially on such a short time scale.

The most dramatic possible outcome in the next couple of years (and one I think is probable) is that programming will change, as it always does. Not that it will stop being a thing.

The programming profession I originally got into does not really exist anymore, but all these years later I am still making a good living doing loosely related work which is still called "programming", despite the fact that most of the programming I used to do is now automated. Even if new LLM-based tools automate most of the work I currently do - and I think it unlikely that will happen on such a short timescale (ten years, maybe, certainly not one) - there will still be plenty of work to do: someone will always need to boss the machine around, using some formal language or other, and we will probably continue calling that person a "programmer".