Does tick affect mob movement?

I want to create a floating tripwire hook trap that if anything fall on it , it will trigger the piston to close the water so anything that fall to it die by fall damage , i have read https://minecraft.gamepedia.com/Transportation and know that fall speed does increase each tick , but the server i am playing on have very low tps (9-13 tps average) so im afraid the piston will turned on too late due to tps , so does my tripwire hook trap still work perfectly even with unstable tick speed?