My local karate school used them in the COVID era to build an app for practicing at home. I've used it off and on, though the occasional oblique reference to COVID is a bit amusing sometimes. Never mentioned by name but there's an occasional reference to "as we're stuck at home" and such. They use Vimeo to whitelabel the service.
Whatever they're paying for it, it is too much. Video availability drops in and out. Sometimes the video works. Sometimes it doesn't work at all and gives a weird error. Sometimes it doesn't work and it claims that it "can't guarantee the security of my connection", even though other videos work fine. Sometimes videos that didn't work yesterday work today. I've been tempted to go to their app developer and try to show them how to just host it themselves in S3 or something, which would probably still be much cheaper than what Vimeo is charging. The Vimeo player embedded into the app is extremely minimalistic, for instance, it can't cast to anything, which is a pretty useful feature for something you don't want to be staring at your phone for.
I found I can Favorite a video, which then makes me log in to a Vimeo account, then it adds it as a Favorite to my Vimeo account despite being private, and then I can view it through the Vimeo app proper, although that also seems to have lost the ability to cast to anything in my house lately. Casting is a clusterfuck of its own with the mismatched capabilities matrix of what can cast to what under what circumstances anyhow, but Vimeo seems distinctly behind on that front. It's honestly significantly worse now than the default video player a browser offers at this point.
But it was probably relatively easy for them to set it up ~5 years ago, before Vimeo collapsed.
A notable difference to their (somewhat) contemporary, Nebula. Nebula made the choice to develop their own services, to also own the customer billing relation. Dropout relies on Vimeo for all that.
Are there other services doing whitelabel video sites? (Apart from porn, I'm sure there is a few) I only know of Floatplane providing whitelabel for William Osman's sauceplus.com recently.