Hi Stephan
Some observations from your log file - in no particular order:
Overall the guiding looks fine. There is no sign of any backlash during normal guiding so it seems that only the settling after a large dither is an issue. Even that is not so bad.
The calibration results versus the guide rate settings suggest that the focal length of your guide scope is actually a bit longer than specified (188mm) so the Normalized guide rates are both higher than expected. This does not affect guiding but couldmake guiding results look worse than they really are.
There is a significant delay in your guide image capture. The guide images average about 2.5 seconds apart. The time between images consists of: the exposure time (1000ms), some overhead in the driver (typically 500ms or so), download time and time spent guiding on each axis. The guide time averages only 0.075 seconds so is negligible. That would suggest that the download time from the guide camera is quite large - as much as 1 second on average. This would delay the settling after a dither.
It looks like the "Fast Recenter" option is selected. Fast Recenter causes PHD2 to automatically issue a correction to a dither without waiting for a guide image and IIRC bypasses the guide algorithm. This could help to speed up settling after dither. So lets say you dithered in dec by 4.0 pixels (e.g. at 22:49 on 5-May). This is 12.7" which at the guide rate should be corrected with a pulse of 790ms. The fast recenter pulse is shown in the guide log and subsequent corrections are issued via the LowPass2 algorithm.
Your MinMove setting with the LowPass2 algorithm is 0.02. What this means is that whenever there is a deviation of 0.08 pixels or more then the LowPass2 algorithm resets. After a reset the next 4 corrections are then just the deviation x aggressiveness. You have aggressiveness of 100 so after a reset your corrections are the same as the deviations. The chances of a deviation of 0.08px every 4 samples is very high so you are effectively guiding unfiltered. This is part of the issue with your dithering.
If we analyse the calibration there is a backlash removal stage (which is standard). Each step is 500ms and in Dec the guide rate is 14.3"/s so in 500ms you expect a movement of around 7.2" and at a pixel scale of 3.18" that makes 2.2 pixels. The actual movements during the backlash steps are (in pixels): 1.6, 1.7, 2.3, 3.2. So the initial movements are a bit smaller than expected but then overshoot. During the rest of the dec calibration there is similar variablility in the step sizes as measured in pixels. The biggest variation is a bit more than 1 pixel beyond expected or 3.2" so it could be down to poor seeing.
This variability also seems to be present in the screen shot of the GA backlash module. However, the actual data is not in the guide log so it might just be an artefact of the graphic. The backlash data should be in the debug log so if you could upload that (the one with the GA Backlash session) I could have a look at it.
This variability could be down to belt stretch as Stefano mentioned. As I understand it, if you make a large guiding movement and the mount is not well balanced in Dec the resulting torque causes the belt to stretch momentarily as the mount moves so it does not immediately move by the full amount. It then takes a small time to recover so the guiding result is delayed while this happens.
I compared your dither results using the LowPass2 algorithm against a similar dither on my M-Uno using the Z-filter. What it shows in both cases is that in response to the Fast Recenter pulse the mount does not move fully to its target position. It looks like it takes another second or so to complete the mvoement. After the first recenter pulse the guide algiorithm takes over. In my case the Z-filter picks up where it left off and issues very small corrections so the mount quickly settles to the new position. In your case the LowPass2 issues a large correction for (what looks like) the belt stretch and subsequently overshoots.