With the switch being vulnerable for hacks, and save data editor who can change the time of the level (in how many seconds you completed them), I want to suggest that only recorded level runs are valid at this point, instead of that you only need video proof if you claim to be number 1

Would having proof by an end-level screenshot of the time work? I don't think that can be hacked through save data editing.

That could work, but then you can still copy the screenshot of someone else. It is a better proof than the overworld scorebord ofcourse. It still becomes a matter of trust that somebody doesn't literally copies a picture that somebody else made. But I think choosing between the result screen and the overworld screen, I say that the result screen is more trustable

What I would suggest is instead of making a screenshot, holding the capture button to make a recording of the last 30 second. By doing this, we can compare it to other peoples runs if we think it is copied. And it is the same as doing a screenshot, so it is no extra effort

Or... Just record the whole level. Like most people in most games do.

That is what I first suggested