I won the first 4 games of trials and then got disconnected on the 5th which flawed my passage of persistence card.
I won the next 3 games to get to 7 total wins but the adept weapon still didn't drop for me.
Can show trials report which shows the card was not flawed at 0 wins or 1 win and 2 losses.
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I've had this happen twice to me this weekend. First, at 5 wins. Then I reset, did it again, and it happened again at 7 wins. I also had a triumph at 6 wins that said lighthouse ascendant, but no idea why I got it.