Just thought the same while playing. I was always sure that if I press once more then the tile is exactly rotated like I want it, but instead it was the other way around. It's interesting that we keep such a feeling how Tetris should work after all these years.
It's the right way for me, conditioned by Tetris for Mac ('90s black and white game) and whatever version I had on my TI-83 calculator.
Edit: Just as importantly, at least on a touchscreen, the arrows are on the right and drop is on the left, which is opposite of Gameboy but the same as a computer or TI calculator ;-)