There is a hidden problem in the ETZ gearbox, that's not in the service manual because nobody it's supposed to touch it, but some (idiots) do: the little "star" on the left side of the gear selector drum, under the washer. It sets the exact angle for each speed. It can be placed only two ways(washer removed specially for pictures):
The correct placing is when in Neutral, the gear arrester(Pizza-Schneider) stays on the top on the flat hill(it's only one hill that is flat on the top)
The wrong placing is the other way.
What happens in the wrong way: finding neutral is easier; 3rd gear is not precise, shaky. 2nd gear will work for a while then suddenly you lose it, like a false neutral.
The shifting pinion of 2nd gear will split
What you can observe that for 4th and 5th gear the positions are the same if the little "star" is placed any position. So your problem is not this, it's just worth checking next time.
It's only one fork that shifts the same shifting pinion: it can be that the fork does not shift the pinion(fork/drum wear problem) or the shifting pinion has split, I don't want to imagine what if both sides engage.
Maybe you already fixed this, I'm curious about the problem.