I double checked and provided move_and_slide() functions how I think it does, the only calculation that seems frame dependent is how long you stumble after hitting an obstacle. Gravity and horizontal acceleration are calculated w delta and coyote time is on a .1s timer.
I think some of the issues people are having are due to the goofy ass way I coded in the jump and fast fall mechanics lol. If you're interested, here's some more detail: For the short hop, releasing the jump button before the apex of the jump will cut your y velocity in half. For the fast fall, it will immediately set your y velocity to twice the maximum fall velocity regardless of whether you're jumping or falling when the button is pressed. My intent was to give the player the feeling that they had complete control over the character's vertical movement, so it may need a bit more workshopping :P