From those screen shots, part 2 doesn't look that much better than part 1.
"We absolutely made sure to use the best available video materials for the upcoming Re:ZERO Season 1 Part 2 home video product "
From the screen shots of part 2, either they haven't been sent the "best available video materials" from the licensor, I say this as the Japanese release doesn't seem to have these issues(going off a screen shot), so possibly different material, or Funi just haven't done a great encode.
I agree a large part of the blame here seems to lie with Kadokawa giving AL and Funi poor materials, but some of the blame still has to lie with them for releasing it. They shouldn’t have to put up with shoddy video, but neither should we as the end consumers. All we can do is point out and refuse to support poor quality releases, hopefully that will send a message back up the chain to the distributors not to accept crappy materials.