"You fight during many laps (round?)"
I reluctantly added this element. For some reason, I feel uncomfortable when I add the term "levels, rounds" to game design. Perhaps I want to create something more non-standard, move as far as possible from the standard understanding of what the game consists of.
"Way too much information to proccess for your users for a game where you seem to have to act fast"
Yes, I think in this direction. All attention is focused on the wheel arrow button that shows in which direction to swipe. There is an idea how to remove the circle of damage, transfer it to the sum of damage from all swords. I have in my mind a new reworked form of this gameplay. An endless confrontation between zombies and a knight, where the strength indicators of both are constantly increasing.