1. I guess "relatively new" is a vague term, but SAML v2.0 (the current version) was standardised in March 2005 - it's now 12.5 years old, I don't call that new.
2. SAML is very widely used in certain segments. Every SSO product supports SAML, including cloud vendors like Azure, Google and now AWS, and also specialist vendors like Okta and OneLogin. Within the dreaded "enterprise" space, SAML is absolutely the #1 SSO technology in play.
3. The golden SAML attack is a load of crap. It basically says "If you can get the private keys of an identity provider, then you can impersonate that identity provider". Yes, SAML relies on the confidentiality of the signing keys. That "attack" is the equivalent of saying Linux security is broken because if you have the root password you can modify any file.