To me the SAML vs OIDC difference looks (also for the exchange format) pretty similar to the situations where XML vs JSON is used.
That is, I've always seen SAML as being very old / enterprise, and OIDC being the breath of fresh air that is JSON compared to XML.
I'd love to be proven wrong and start seeing SAML under a different lens as I don't currently see any benefit in starting a new project thst supports SAML