Interesting reading since my earlier reply. Let me tell you my experience. I originally started cycling with a club in the 70's as a teenager. The club rides were very much look after everyone, old and young, learn to ride as a group and arrive at the cafe together. Sometimes there were 2 groups but they all worked the same way. After my teens, I never rode regularly with a club as I moved around a lot. My previously learnt skills allowed me to join group rides as and when without issues. Until now.
I joined a new club that was set up here. It started as a Facebook group but gradually became more organised. However, its members include quite experienced and fit cyclists as well as complete beginners to road cycling. On the first club ride I went on, about 30 cyclists turned up. The 'leader' set off with everyone else in their wake. Within half a mile, the riders were all over the place. It was obvious that nobody, not even the leader had any concept of what group riding was about. As it was my first time, I kept quiet and rode along chatting to riders who had self organised into small groups of 3-4. The leader to stop several times to allow the rest to catch up. At the end, no seemed bothered (except maybe me) with this lack of organisation.
A few weeks later, I volunteered to lead a ride. Teach them a few things about group riding, or so I thought. About 20 riders turned up. I set off in front at a steady pace. Within half a mile, 4 obviously faster riders overtook me and we never saw them again. At the first downhill, many of the slower riders also overtook me but I overtook them on the following uphill. I stopped for a regroup and tried again. This time I was overtaken again but then they went the wrong way at a junction as they didn't know the route. The remaining riders with me continued to the pub and the rest eventually turned up. So much for my leadership.
So, am I leaving this club? No, I think I'll consider it as a great social experiment. Can a disparate group of cyclists self-organise without any meaningful leadership or structure? There is no committee, no rules and no membership fees. But we do have a jersey.