I'm not really sorry to tell you this – there is actually an enormous amount of luck in dominion, and it can absolutely be correct to attribute single games to luck. Over many games, luck will equal out, but not over one game.
I disagree, although maybe only in the semantics. For me, variance means in practice that a better strategy won't win every time. It's expected to lose x amount of times naturally. To compare with poker, it's not lucky to beat AA with 2-7, it's just hitting the variance. However, wouldyou do that in the final all-in hand in the headsup of a tournament
that is something I would deem lucky.
A single game on Dominion Online is never something I would consider lucky, there is no real stake at risk at all. Even if something absurd happens you are merely just hitting the variance that is built in into the game.
In this case though, even if my game was in a league match I wouldn't consider myself lucky at all. to hit province four times in a row with my deck wasn't unusual at all and it annoyed me quite a lot to be scoulded at because of it.
Anyway, this might be just my pet peeve and that is quite alright. I most likely have this distinction between the terms to not go mad when my decks refuse to collaborate...