This is very interesting example.
In the rules I'm familiar with Hai moving to Shen to produce itself, means Shen won't interact with any other line(except day/month) as its like finding inner strength to get you through things, you are still Hai, Shen is just the support you find in yourself.
Now, Wei is interesting. This is the authority he is seeking, but Wei is producing Shen.
However, Wei at the same time is weakening Hai.
So the interesting question becomes, is Wei weakening him or its strengthening his support...
The way it looks it seems its both.
People in authority won't give him authority, but will help him find another job as cleaner.
While if we view Hai on line 3 with Wu hiding behind it as the person in authority that hires him as cleaner we have Wei in that line and month, both helping his support(Wei producing Shen) and weakening him although still combining(Hai <> Mao <> Wei making wood potentially, also connected to Output>Performance>Job)
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Very interesting, thanks to Tientai and Jlim for interesting topic.