SwingsitlikeHogan
Major Champion
In answer to your question. Yes. Without any other knowledge, if I was in a building that was on fire, I would try to get out. Obviously not towards flames, but towards the nearest exit. Just like you would be asked to do in any fire drill at work for example. Of course, with the guidance in that building, I would then follow the stay put advice, assuming that the building will protect the fire from spreading. That's what the professionals thought would be the case, and I'd therefore put my trust in them rather than my own common sense.
Which you might well do if there were no Fire and Rescue services there to advise you - besides - Rees-Mogg was talking specifically about the residents of Grenfell Tower and that fire - not some hypothetical general situation.