I just noticed that the "uke goshi" replay is not an uki goshi in the slightest, it's definitely an o goshi

The key to an uki goshi is that it does not have the hip as deep as an ogoshi, and it's a small circle hip throw, meaning it doesn't have a large gracious arc like an ogoshi

Check out these replays

Also check out this technique which I think can be considered the easiest hip throw to acheive in toribash: utsuri goshi