I doubt that chess ratings are based on casual games. Or is it? We contact FIDE: "Hey, we played a game with Kostyan, please calculate our ratings." :D Although, I might be wrong, and if it's really like that, then I don't know. I think that since they took the formula from chess, it makes sense to take the entire system by which the calculation is organized.
There are online chess games, where you can challenge any player and increase your rating, and this rating is also used in tournaments. Practice shows that with a normal distance, the rating corresponds to reality. Of course, there are jumps both up and down, but the distance brings it back.
Today, the main rating of the forum is a mixture of players' strength and the amount of free time.
The main problem is that the rating of some individual players does not correspond to reality, because they deliberately do not write down the games they won, but confirm the games they lost, thus artificially lowering their rating. This "problem" can be solved by taking the tournament rating (it would be interesting to see it, by the way), but as already written, the distance will be too small. Therefore, for some, the season is the only way to play it.