If WinGet contains AppGet code and they didn't credit him then yes, absolutely, moral rights in copyright (attribution, right of association, integrity) cannot be transferred during the lifetime of the owner and yes MSFT can be sued for breaching them. It is extremely likely the penalties meted out by a judge wouldn't cover the costs of a lawyer. Not that anything like this would ever see a courtroom, MS will offer a settlement which in this case will be on the magnitude they gave to Mike Rowe for MikeRoweSoft.com (which was an xbox and some travel vouchers and such).
If they stole his unpatented ideas then there's nothing.
In the update and the responses/interviews the author gave he clearly states that Microsoft copied his source, an absurd claim considering both repos are public.
He goes to say that "If I were the patenting type, this would be the thing you would patent. ps. I don't regret not patenting anything."
I mean come on. Every package has a .yaml manifest where there's a download link for every architecture, a hash, a version and an installation recipe. There's nothing to patent here. It would be extremely hard to argue there's no prior art, considering most languages and distributions have been shipping with package managers built just like these for years. Even my text editor has one!
Realistically, the author managed to get a lot of attention for his other startup for almost no cost. By bashing the company that's trendy to bash right now.