I always rhyme the “rightie loosie…”

You don’t turn a screw left or right. You turn them clockwise/counterclockwise. The right/left only works if you imagine an arrow on top of the screw. But without any other info, why would one assume the arrow is on the top of the screw?

If anything, a “rightward” rotation actually loosens a screw! If you apply the right hand rule, a right-handed rotation would result in loosening, not tightening, any regularly-threaded screw.