DR Jennifer when I put a book on hold using the library website it tell me how many people have holds & what my number on the queue is. It also says how many books the library has. That way I can see where I am. Sometimes it changes slightly because you can but a hold on your hold. Once you release that you drop back in where you left off without going to the back of the queue.
I think your library puts a book in the sytem very early on. I like that idea. Mine doesn't do that. My sister's library is sort of in between. They put the book into their system i think when they order it. So you can see where are you (although not when you suggest the book).
I wish i could see what place i am. Usually i am first. Although it seems when i really want a book then i am second.
I can usually tell how popular a book is. For instance this other book i am waiting for i am 95% sure i am first. I sort of had a feeling about the book the other girl took (where i am 2nd).
My library only puts the book into their system when they have received their copy at the library to process. But we can't even see our place then (for instance i saw the book was in binding 2 days ago). Only when they put the reservations in the system (on the day the books go out) can you see your position.