Player rating for tournaments across all installments of Heroes.

Let's consider an example that until a week ago I couldn't provide without violating the rules of the tournament, Stage 6 of the VK.
The proposed map turned out to be very easy due to an excess of starting and joining forces. On such a map, the primary factor is the place taken, since it's impossible to differentiate based on days.
The distribution by days is roughly as follows: 7 days - a great Walkthrough, 8 - good, 9 - also decent, 10 - let's say, average (may some participants forgive me). Why 10? Because the bottom half of the table starts exactly from this result; a Walkthrough in 10 days is achieved immediately and without problems, for example, with 2 boats and one runner, although if you're very lucky, you can get 9.
Objectively, on a 100-point scale, a Walkthrough in 10 days (for one's level) deserves about 50 points; those with a higher place get slightly more, those with a lower place get less. But what happens if days and place are correlated 4 to 1? That's a huge blunder.

Now for the bonus.

I already said that a person should not suffer from the fact that they normally completed the previous tournament, but you stubbornly disagree. In the end, let's look again at Stage 6 of the VK. Romanuel, vbn, and Fireball showed very similar Walkthroughs. Only vbn didn't take the +2 spellcasting artifact and didn't bother polishing one parameter. I picked up the artifact but ignored one parameter, even though I knew it was possible. Romanuel did everything cleanly. AlexR's Walkthrough is conceptually better, more precise and careful. But in the rankings, he is only in 2nd place!!! And only because Romanuel did not participate in Stage 1???!!! Although, ideally, Alex should have a decent lead. This is turning into some kind of nonsense.

Perhaps better than option 1, but still not quite right. If the ratings reflect actual strength to any extent and the maps are not too simple for the participants, then the k coefficient will always be quite close to one (since that's how you defined it). That is, it's only a bonus formally, while in reality, the ratio of linear and non-linear ratings will change from 1 to 4 to 1 to 2. In short, this is obviously not a bonus at all.

Summary. Looking at your 2 proposals, the Kamikaze system, and the 6 stages of the VK, the average forum user (provided their attentiveness and logic are fine) should exclaim:
"Long live the oscillator!!!"