This is all so controversial - that the veracity of the statements can only be tested empirically, provided that the players participating in the experiment do not deceive us about how many times each has replayed the map :)
And another question - does scouting the map count as an attempt? :)
Scouting is analyzing the map in a cheat mode using a bunch of cheat codes, to check all possible options for completing the map.
A walkthrough is going through the chosen option identified during scouting. A "clean run". If you scout properly, no more than 2-3 "clean" runs will be needed.
Such global improvements in the walkthrough depending on attempts are not made as you showed in the example. A good player is already close to the record result from the very first attempt, and it's possible that to achieve it, they don't need to replay the game from the start. As for online, I've heard somewhere that pros fight each other on maps known to both, which only God knows how many times they've scoured from end to end :)
Regarding online, you didn't quite understand. There are two or three maps that are very interesting to play. And you can play them 50 times and not get bored.
In a serious tournament, players are given maps they have never seen before.