Unfortunately those are just downloaded apps, and since I have several hundreds, many of which aren't downloaded, it is not a complete option. Also, as you mention, you can't see the appsin iTunes anymore!
Thanks, but there's no way to export that data, and I'd like not to sit and type in several hundred names manually.
This only shows you them in increments, and again, no export option.
This turned out to be exactly what I was looking for!
For anyone else looking for a list of your bought/free applications on iOS, tvOS, or macOS, this is what you should do. Go for the dump, and select the top option that says something like "Information about Apples media services", which will give you .csv files containing information on everything you have bought on all their stores. Data easy to manipulate!
Edit: Turns out I have a total of 1213 iOS/tvOS apps 'bought'. I am glad I did this, and didn't type everything in manually.