I actually find the app is very nice compared to the mobile website on a pixel 9, of course I'm on GrapheneOS so I can enjoy apps from shitty companies without worrying too much about it doing shady things.
Although as of the past week, they've been injecting a shop with Alexa ad when you first open the app that slows you down by a few seconds, which is extremely infuriating.
I'm one of those shitty human beings who, unfortunately, orders fairly often from Amazon.
Every time somebody brings this up, there's the same obvious answer. The only real option is to have an external streaming device and to disable or completely ignore the built-in operating system.