As someone who have played this game for about 7 years since 2011, i can say two things about these clips, EVEN if they ARE NOT connected.
1. Lagging while the server craps itself does not look like that, it makes you warp forwards, never in my life playing apb did i warp back to the SAME position multiple times during lag, always a little bit forward from the -last valid location- as Matt said.
2. Speedhacking in this game doesnt look that smooth, ever, only if a command made the player do it. In this time when i played, anytime ive seen a cheater pull the super speed "trick" it always made them warp forwards, it was never smooth movement as on the video.
However my 2. point doesn't matter since i dont know if the two videos are connected or not, if a GM sped past someone it doesnt really matter anyway since they cant hit you and you cant hit them.