My first measurements (without load) were about the same on both channels. The latest measurements with 10Ohm load are only on the right channel, but since the picture is similar to the first measurement I'd expect that they are also the same on both channels.
But I can repeat them on the left side if you think that this will help.
The good news ist, that I've "solved" the massive distortion with the iPhone earbuds. It's not a problem with the amplifier but with the jack. TRRS jack does not seem to match well with the 6.3/3.5mm adapter. If I pull out the jack a little bit and find the right spot, it sounds ok. I can only guess, but I think that there's no proper ground connection and it connects to the mic instead.
But that also means that I'm back to just numbers and measurements. They still seem to be quite odd (haha the pun) to me, but I've no more actual audible distortions to back this up. I just haven't enough experience to hear such things.
What do you think, would a measurement between the amp stages be meaningful?
OTOH you say that those numbers are normal and to be expected I might also just give up searching and accept it how it is.