Ignore arguments of technology, training, or era. There are three possible outcomes to a general conventional war in central Europe during the cold war.
1) The Warsaw pact loses.
2) NATO loses.
3) Stalemate
Imagine the Warsaw pact loses. Deep strikes paralyze their command and control, Poland surrenders, the Ukraine front collapses. Only nuclear weapons can stop NATO from taking Moscow. What do you think Andropov would do?
Now imagines NATO is loses, 5th Guards tank army has overrun Germany, Soviet troops are coming through Strasbourg and tomorrow they'll be in Paris. Do you think the French will not use their nuclear weapons to prevent this? If they don't, will the USA allow a million cut-off American soldiers to be taken prisoner before using nuclear weapons to cover their evacuation? That evacuation will be across the English Channel. Would a British submarine captain (with sole launch authority, remember) hesitate to use a nuclear SUBROC round to stop a quad of Oscar class subs getting within their 500km Granit missile range of the rescue. For that matter, would not a German artillery officer simply commandeer his US issued W48s (and the US PAL officer if necessary) when the first Soviet recce forces clear the western end of the Fulda Gap?
The best possible outcome is a stalemate - but if the conventional forces are stalemated then nuclear weapons are the way to break it. And you'd better use yours first...
Here's General Rair Simoyen of the Red Army, when asked if a conventional war might not mean nuclear war. "No side will accept defeat until it uses all the weapons it has,"
And here's General Curtis LeMay, when he was told that a pre-emptive strike at the opening of the was not US national policy, "I don't care, it's my policy. That's what I'm going to do."
The main purpose of conventional forces on both sides in Central Europe was to allow the politicians to pretend they had a strategy that somehow didn't involve destroying the world. The soldiers went along with it, because what else could they do?