Im sure it would, but it would need to be hundreds that joined up at that price, probably thousands to accumilate the kind of cash needed to suppliment to a worthwhile degree.
£20 is too much in whatever sense, you'd be better of having a kitty and those who will take part add to it.
Like someone else said, the members should look at holding more meets before anything, get down to Santa Pod a couple of more times this year, maybe go to USC like we used to years ago?! Get a rolling road day in the calendar and one that would suit more people than just the members from that region, have a drive out to somewhere interesting for photos. All of these were a common occurance only 5years ago and were usually organised by the members.
Maybe something big time like going to LeMans, or the Nurburgring etc? I have done all of the above with people I only knew via the forum, made some uber mates along the way too, not just the local gang of GT owners!