The reason why you can’t view the records on your page is that the Model Service object is actually a Managed Protected Custom Setting, so you actually don’t have access to it. If you click on Setup > Develop > Custom Settings, you won’t see Model Service listed anywhere. The reason it works on the SkuidSettings page is because we wrote Apex in our namespace to enable access to it from that page. We did this for security reasons (Usernames and Passwords are stored there, after all!). While it’s true that you can clone most of our delivered Pages and trick them out however you like, SkuidSettings is one (I think the only one at present) where this just isn’t going to be possible.