It's an archive.

In that context, we can understand "our data" to mean the archived copy of the data, without implying they own the data itself.

Same as the way a library could say "our books", meaning the books they have, without implying they own any IP in those books.

"Ironic" probably isn't the right word. I think there's just some confusion about context here. Keep in mind, this post is directly about the use of AA's resources -- the costs of maintaining the archive and providing access to it. This is valuable to the training of models.