My bullet rating is currently 1400 and it's pretty much the only time format I play as it is quick. I figured that I wanted to think my moves more thoroughly so I played some rapid games in a Lichess tournament. My rapid rating was around 1100, still having the "?," so you can imagine I wasn't playing much rapid.
I was amazed that I was able to beat 1800 players if I did not rush the moves. I even berzerked and won having 5 minutes to think. As black, usual features of the games were play on the kingside, opposite side castling, me having a bishop queen battery aiming at h3, and a rook on g8. Usually there is a white knight on f3 and a pawn on h3 and I gain initiative by playing g4 to force him to take with the pawn. They usually never make space to run with the king. Here is an example game.
Additionally, here is a different type of game in which my opponent blundered. Another game is also interesting even though my opponent’s rating wasn't high. I would definitely like you to take a look at it.
Was this just luck or I would be able to climb up someowhere around 1600-1700 if I played longed time formats?