Purchases probably meaning the in-app purchase for things you can send to people on TikTok lives. I have seen app dev advice that if you store purchase info on your server in any way, instead of it being a local only purchase, then you must check the box that you collect purchase info.

Which is exactly what they have done, considering this list is literally from the App Store page. This was only explained after the comment was edited and provides quite a lot of context to the list.

Updated with more context and source links. The real question is, why does it need all this data to show you videos?

I'm not an Android dev but I wonder if its ALL PURCHASE history or just access to purchase history and info in regards to the app like if you buy stuff in-app. Likely the latter if I had to guess.

I think without the context, it sounds extremely nefarious. But just as you, I think most of this data is things simply from within the app itself. Or data you explicitly grant access to.

We all know the answer to that. It’s a free product, so you are the product.

Most of that data is needed to allow you to create videos and pay creators. The app does more than just show videos.