Personally, I would like to suggest that tournament wins should significantly influence the rating! For example, awarding 500 points for first place, 300 for second, and 200 for third (these numbers are just for discussion). This would create an incentive to play in tournaments, rather than simply inflating one's rating. I think few would disagree that winning any tournament is not something that every active player can do! So why not give a good bonus for this, so that they continue to play and win! Here, people play for three months around the clock, trying to climb to the top of the table, while a strong player would only need to win a couple of tournaments to become the rating leader! In my opinion, this would be more objective than simply trying to prove to each other whose favorite player plays better.

2 Invisible.
I'll try to suggest that there is no ideal rating system; many online games have been played, starting with ToH and Chaos League, and everywhere the rating was calculated differently, and any system of calculation had flaws, so our current system on World is no worse. The calculation system has already been developed, all players understand it, and some new system will only raise new questions, and dissatisfied people will still remain. But the idea of awarding additional points to the tournament winner is excellent! We need to encourage players to participate in championships.
But how to determine the significance of the tournament, because it would be illogical to give a lot of rating points for a small tournament of 4-6 people? We need to introduce a scale of additional points, depending on the significance of the tournament, for example:
32 or more people - 500 points;
16 to 32 players - 250 points;
8-16 people - 125 points.

That is, the increase in rating depends on the number of participants. A tournament that brings together 32 people is already a significant event, a small tournament of 8 people is a smaller, but necessary event for our community. Let there be more tournaments, but there needs to be control to ensure that they end logically, and are not interrupted halfway through or even at the beginning.