Getting an arse kicking in three weeks instead of six days is not a significant improvement, particularly when they achieved full strategic surprise, something that there would be no possibility of achieving again and even with that surprise didn’t manage to get more than 30 miles from the Suez Canal.
Israel negotiated because they wanted a peace treaty with Egypt, not though fear of Egyptian strength.
Significant improvement was that in first phase Egypt neutralized 3 cornerstones on which Israeli defences lay. They breached Suez/Bar Levi line, they defeated Israeli armoured counter-attack and neutralized IDF to an extent that they were not able to operate freely and give required support to ground troops.
Egypt made a mistake of advancing in second phase, when they were defeated.
However coming up with such plan, executing it and giving Israel bloody nose when they stuck to it showed clear improvement. And if they went from crappy performance in 1967 to this in 6 years they might improve even further till next war. And as always Egypt would be able to field bigger army than Israel. If they leadership would steadily improve and some point this (which would likely still be worse than Israeli leadership) combined with numbers would be enough to actually win the war. Or make Israel whip out nukes at which point it would be whole other game
Since Israel entered into negotiations with Egypt at the earliest indication that Sadat was open to them your statement is baseless.
You seem to be deliberately being obtuse.
If what you are saying was true Israel would have accepted 1971 peace offer. Which was more or less what Camp David was all about anyway. Israel wasn't interested in negotiated peace because they believed that they can always win easily. 1973 showed that while they could still win it woun't always be easy or cheap. So they made peace.
Plus they needed to remove egyptian threat so they could give their full attention to Lebanon, which would mean conflict with Syria. (compare scope and objectives of pre-Camp David "Litani" and post-Camp David "Peace for Galilee")