I used to commute to college and, later, a job but in over 50 years of riding a bike, I have never once been on or interested in riding with a group. I prefer riding alone and ride purely for recreation. Cycling for me is like hiking - best pursued and enjoyed alone. My wife doesn't ride, my kids don't ride, and the people I know who do ride are into the racing aspect of it, whether on the road or trails. Zero appeal for me.
Your post reminds me that I don't like being in groups in other methods of transport as well. I used to spend some weekends in my past riding in groups of motorcyclists. It's so restrictive, and it impedes the natural flow of traffic. It might as well be a funeral procession without the police escort.
My favorite size group whether on motorcycle or bicycle was two to four riders and no more.
I like the hiking analogy. I think of my current bike riding like solo canoeing.