Reading through the CAA document I can see nothing there for GA and recreational flying.
One line - on page 2
"Larger Aircraft have to pay higher charges than small..."
combined with
"larger aircraft are no more difficult to move through most airspace than smaller ones"
could be construed as saying the airliners are being over-charged and a re-balancing of charging is needed so that smaller aircraft pick up more of the bill
I don't suppose that the airlines stake in NATS could possibly be influencing things??