Specifically eBay Motors, which is a standalone app.

https://flutter.dev/showcase/ebay

I'm suspicious of those because it shows an ebay logo but then shows an app I've never heard of or used...is this the same for all the other logos? Where does NYT use flutter?

I don’t believe NYT has used Flutter for some years.

Flutter web publicly launched with a NYT prototype https://verygood.ventures/success-stories/new-york-times

I recognize that as the NYT Games (formerly NYT Crossword) app.

It has some very annoying non-native behavior, like bringing up the text selection/highlight menu in inappropriate places (in a word puzzle with no selectable text).

Or the non-native keyboard ... honestly made me stop using it altogether

Yeah that's really annoying too.

I've solved thousands of daily crossword puzzles in that app.

Listing eBay and NYT seems pretty misleading when it's actually eBay Motors and NYT Games and not their primary apps.

I can't tell if the same applies to Square or American Airlines but I would not be surprised.