I think I recall your first M13 processing. This is better IMO.
When I first started I didn't spend enough time when imaging on focus. Now focus is my primary goal as the final image is extremely dependent on that. Everything else seems to be secondary. I check focus sometimes three or four times now during a session. I currently use a Bahtinov mask but even this requires some skill to be developed.
I have an auto focuser which allows me to come to the focus point from both directions and count the pulses on each (minus any backlash). This way I get a pretty good center of the focal length to use. The auto focuser I have has a automatic method to adjust focus but I have not had time to learn it yet.
A friend who uses BackyardEOS blows the image way up and has a clear fine lined mm ruler he tapes temporally on the screen to check the center spike with. He also is coming in from both directions. Checks the full distance each direction and divides by two then moves by that final number into position.
All in all I'm seeing an improvement in my images and developing more repeatable results by concentrating on focus as a priority before starting and during the imaging session...
An example is linked below taken with the same DSLR (T3i mod) as yours.