Many are posting from outside RI so they don't understand "Barrington lingo" . They require an invitation by a current member to ensure that you are the "type" they want in their club.
I would bet this is a real snob-a-torium (to quote Rodney) so good luck to the original poster. I am sure that if your wallet thickness and family crest are approved they will eventually find someone to sponsor you.
I think you are way off course. We belong to two clubs, one of which has fairly stringent membership requirements and vetting and one that will accept virtually any warm body that can make it to the front door. When we joined both Clubs (but not at the same time) they were "Sailing" yacht clubs, devoted to the sport and the avocation. One had no power boaters at the time (and still has few) and only a few non-boat owners, most of whom had been sailors when they joined but had given up their boats due to advanced age and/or infirmity, but never-the-less remained devoted to the Club and the sport. The second Club had only one power boat when we joined but, after almost 20 years is now dominated by power boaters, many trailering, virtually none of whom ever owned a sailboat, that are firmly devoted to the restaurant and bar. They are reinforced by a very large contingent of non-boat owners, few of whom having ever owned a boat, that are devoted to the "cheap" food and drink.
The first Club remains and thrives much as it was when we joined in the late '70's, devoted to sailing. The second Club has devolved to a Dining Society that focuses almost exclusively on food and drink and entertainment and views the marina as a source of subsidies for the restaurant, which looses money at a shocking rate. As a consequence, mooring rates are now approaching rates at nearby commercial marinas and many less well-to-do sailors have been driven out. We remain because we can afford it and because the marina is relatively well protected, which is an important consideration in southwest Florida but there are only a few of the members remaining from when we joined.
If a Yacht Club--or any social organization--wants to preserve itself as it was founded, it needs fairly stringent admission and vetting. Without, there is no telling how it might evolve but it certainly won't cleave to its founders' principals/intentions/mission. Having said the foregoing, I submit that our first Club--with more stringent admission requirements--remains the more welcoming of new sailors and does far more to promote the sport.