For offline matches, only technical wins are awarded, and only technical wins. Excluding a player from a tournament is a very serious step that can also cause a stir. Players are excluded for serious violations of the rules, such as using cheat codes or exploiting bugs for their own benefit, or for excessively rude behavior, etc. Keep in mind that awarding a technical win in all games and excluding a player from the tournament, although theoretically the same, have completely different degrees of punishment in practice.

"If a game does not take place, both players receive 0 points" - hmm, of course, it depends on the number of rounds, but you understand that you can arrange draw matches.

Award "0" points for a draw, and that's it. Or, let them indicate a more or less detailed reason for the draw.