In the archive you say:

  Entry 4,5 are in reversed order
  鳥        =    niǎo
  女性    =    nǚ xìng

So the question becomes - which order is correct, and which app does not follow
it?

According to
http://demo.icu-project.org/icu-bin/locexp?_=zh&d_=en&x=col&collation=pinyin
1. 鳥
2. 女性
is correct.

Daniel, in your report you have two screen shots, but I can't tell which window
shows results from EDS and which one from PIM Manager. Can you please clarify?