I don't have 'much' of a problem on my VT version of friction hitch and I do have jaming teight on on the lanyard often. Same hitch, I'm trying to figure that out.
I did a move from one leader to another today using some of what has been discussed here. I had no fast way to get to where I needed to be so I threw my climbing line end with a loop at the end over to the intended TIP. And then used long pole to retrieve end. Was able to move to where I had to be with little struggle.
Thanks,
Jack