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The round-robin system is the best option.
The best players have been gathered. In reality, you can finish with a score of 7-2, starting from 0-2, and win. And there's a good example even in this tournament, LuckyF, who started this discussion, began with 2 losses, and now has a chance to at least be in the top 3. In a double-elimination bracket, he would have been eliminated first. That's how it is.
The fact that there are technical issues is, unfortunately, a shame. Before the next offline tournament, there will definitely be a discussion about what to do with participants who have been disqualified.
Regarding games that don't mean anything, look at the bracket; we will still have a decisive game because I made the draw specifically so that it would happen.
And I completely agree with Gomunguls that a game where everyone plays everyone else is the most objective, and with 10 participants, there is no need for a double-elimination bracket.