You don't really have to interact with others to complete the tasks! You just need to be grouped!
If you are able to solo said content and would do everything if soloable... Well, you can do everything solo, just WHILE grouped.
For instance - I went to Alik'r where everyone types "X" in zone chat and someone invites them to their group. Once I joined the "dolmen group" I did my tasks: WBs, Foes, etc...
Would be nice of you to say in the dolmen group chat something like "I'm going XYZ please keep me in

" - Most people will be ok with it. (And most people in dolmen groups never type anything, they are just there to grind).
You'll be able to complete the Golden Pursuit just like you are saying you would, just while being in a group with people that likely won't interact with you in the slightest.
You're welcome.