As I mentioned, an MRL tape is one track. i.e. one large single track record head makes it so on a 24 track head all the heads in the head block are reading the same wave and you'll get a solid signal except on the edge tracks. And looking at the second video of the tape path you can see the tape is riding quite high by looking at the erase head and the sync head. Probably half a mil which is a lot. So with the MRL tape, is track 1 more stable than 24? My guess is it will be because the tape is riding high.
Also, as RoadrunnerOZ commented. unless it's the video quality, there does appear to be some slackness in the tape across the top of the head and this would explain why the meter fluctuations of 5/6 aren't exactly in sync with 13/14.
In short, I reckon your MTR needs a decent transport service and you may be looking at new tension arms and rollers. I used Nathan brand rollers as they used to track better but I don't know if they're still available. I recommend getting it done soon otherwise you'll get uneven wear on the heads and rollers.