What has become very annoying is so many sites are using "third party cookies" for whatever asinine "single sign on" product they've been sold. The number of redirects my browser undergoes when I log into my health insurance portal is mind boggling.

Maybe I am getting this wrong, but I think the reason you're being redirected through so many sites is because they're not using third-party cookies. They have to redirect you through each domain so that they can all set their own first-party cookies.