probably not, because they are describing a 3+1 game where there are substantial time-manipulation puzzles.

Wish people wouldn't call "game with time manipulation mechanics" "4d" though.

I do remember there was a game which was like, an rts, but with time manipulation bits.

Ah, but that didn't really feature 3d movement, so probably not what they are thinking of?

I also remember a 4d spaceship shooter game..