Besides, players who have participated in at least two games already have a more or less clear idea of what each player is capable of...
And the way you put it: "comparing online and offline players" is simply impossible – they are completely different things, IMHO.
I suggest creating a Player Rating for players who play online via Hamachi.
It's better to play thirty games and take third place in the rating than to get a medal under your avatar once a season or a year and walk around with your head held high. More games, more experience, a higher level of play. And the rating will be a kind of incentive. And there will be no need for some to beat their chest and say that they are super-duper players and will beat everyone, and are even afraid to play against anyone because they are afraid for their opponent :), while not having played a single game. You look at the rating and immediately see (at least approximately) what each player is worth.
SS-D, don't ask, just do it, and there will always be those who want to participate. But before you start, think about it, because it's not easy to do. But if you are sure that you can handle such an event, then it is worth trying. If you are serious about doing this and maintaining the rating yourself, then go ahead. If after some time you get tired of it and stop doing it, then it is better not to start. In any case, first, browse the forums and read how it is done and what is needed for it. Because creating something like this is many times more difficult than running a full-fledged online tournament. Because you need to constantly monitor the rating, resolve all sorts of controversial issues, calculate it, and much more.
And also, there is no need to put this to a vote. There will be nothing but spam here. If you want, write to me in a private message, and I will give you a couple of links to a couple of resources that have something similar. And you can decide for yourself whether it is worth starting to do this or not