Marked path actually turns off right here...

Junction to the short path on the ridge...

This "shortcut" is not really here...

According to National Trust website the caravan site closed in 2017. https://www.nationaltrust.org.uk/ilam-park-dovedale-and-the-white-peak/features/stay-at-ilam-caravan-site

Believe this is now just additional parking area.

This is not Ilam Hall Youth Hostel.
The hostel is in the big building to the North East. This building contains the National Trust bunkhouse

This should probably be tagged as shop=travel_agency