I double checked and my Amazon Prime is connected to MA. I have a number of movies that was purchased on Amazon that do not show on Vudu.
They show on MA but not Vudu.
Frustrating to have to find movie that didn't port on MA or digging thru Amazon.
Edit: Used your link to purchase Inglourious Basterds from Amazon. I have the screenshot showing I purchased it on Amazon and can click Play to watch it there. Pulled up Vudu and looked at My Movies. It is not there. It's not in MA either.
I went to MA and pulled the movie up from there and clicked thru to Amazon and purchased it. That one shows up in MA but not the 4K that I clicked on from the blu-ray.com site.
Pulled up Vudu settings and double checked status of Movies Anywhere and it says I have already connected my MA account.