I think in conflicts like this, each side tries to be the one to make the big, unanswerable bluff. "I'll escalate so high they won't dare follow". But there's a lot between guns and even thermobaric missiles and cluster bombs, and global thermonuclear annihilation.
My assumption is that the intervening, enabling step is tactical nukes.
Somebody somewhere decides that a kilotone-range tactical nuke (as opposed to megaton range ICBM) is justifiable on the battlefield, will bring swift victory, and other side won't dare escalate further.
So now you're breached the "nuclear" threshold in a way you tell yourself is "limited" and "tactical" and "justifiable", but other side certainly doesn't perceive it as such, and brings "proportional response" otherwise you'll just go ahead and do it again, and off we go from there.
So yes, it 100% could happen. I'm hoping it doesn't.
edit: A bit of a read, but basically, Tactical Nukes have historically been a more practical aspect of Russian Military Doctrone.
https://www.jstor.org/stable/resrep12088.8?seq=1#metadata_in...