Its almost certainly an ammonia spike at some point that is throwing him off. Below 6 causes your beneficial bacteria to go dormant and stop reproducing which would cause a mini cycle and ammonia spike. I am not sure the ammonia would even still be present if you tested for it at this point. Keep an eye out for a possible Nitrite spike which may or may not be large enough to show up on the strips, aquarium salt will help to lessen the effects of nitrite on your fish if this becomes a problem.
We all have busy lives I am lucky that one of my two jobs is part time at my lfs so fish supplies is the last of my problems
Just my two cents, I would not move him to the 75 unless the water chemistry is identical and you can do it with little to no stress. Going from 6-6.5 ph to 7.5 and the stress from the move could be very bad
Best of luck to you, I hope you can get him sorted out
EDIT: Also you said that the other fish including the cats stopped eating at one point I would guess that was the peak of your ammonia spike