Nothing wrong with using a red dot or any other optic on a firearm.
I've got a bunch set up with optics and my aging eyesight appreciates them, even sometimes needs them.
Many years ago I used to compete in archery shooting leagues, a bunch of tournaments here in Missouri and across the river in Illinois, even state.
I've still got a box of trophies packed away, but none were ever better than 2nd place competing in the 'limited class' using my fingers.
I insisted on not using a mechanical release aid like everyone I knew tried to convince me to do, (and seemed to be doing themselves), in order to 'solve all my problems' in using my fingers.
The way I see it, (though others may disagree as it is oversimplified), 40% of an archer's skill comes from the hand that the bow is in, and 60% from the hand releasing the bow string.
Shooting a score of 300 meant quite a bit more to me using my fingers than it would've if I had shot it using a mechanical release aid, which I believe would require considerably less skill.
That would have been bypassing the fundamentals and more or less like cheating in my mind.
IF there were ever actually a battle between iron sights and red dots, I know where I'd put my money.