We've wanted to make this change for the last 18 months, but needed our Enterprise business to be big enough to enable the free use of GitHub by the rest of the world. I'm happy to say that it's grown dramatically in the last year, and so we're able to make GitHub free for teams that don't need Enterprise features.
We also retained our Team pricing plan for people who need email support (and a couple of other features like code owners).
In general we think that every developer on earth should be able to use GitHub for their work, and so it is great to remove price as a barrier.
If you as a SaaS provider outsource your SAML integration to a third party provider like Okta or Auth0, the auth provider pricing is immediately on a "call us" tier, with a per-federation pricing in the low four figures for each company connecting via SAML. Let me just state that again, to have company X connect to my SaaS via SAML, I as the SaaS provider have to pay my auth provider $X,000 per year for the privilege, not counting the base enterprise tier pricing for the auth.
Instead of directly bolting SAML into your app, I think a FOSS implementation of an independently running service is the way to go. You run the battle tested open source service (locally / in your cloud), it accepts the SAML assertions and mints something sane like JWTs which can easily be consumed by the service providers, isolating the entire thing from your core app and allowing it be used with any stack. E.g. essentially an open source locally deployed Okta. Doesn't even need to do any user management, just focus on rock solid interoperability and forward all decision making to the actual app server.
If you want self hosted IAM solutions. The most common one is Microsoft active directory. It provides both SAML and OpenID Connect integrations out of the box as of ADFS 2016.
Still, SAML requires to onboard applications individually, create keys, and stuff. It's not plug and play, it really needs humans on both sides to add a new service.
Even in cases where the IdP supports both SAML & OIDC, I see almost no one choosing to use OIDC (a case of the devil you know?). The only real users of OIDC in an enterprise setting I see as a service provider, is G Suite businesses.
I'm pretty sure OIDC can be supported everywhere now. Okta, Oauth, PingIdentity, ForgeRock, Microsoft all support both. The last offender was Microsoft but it's included with active directory since 2016 both on premise or through Azure.
I'm working on auth for a big bank and it's definitely there, although not necessarily advertised and not everybody understand what is supported or preferred.
If a company were to only support OIDC nowadays, and maintain that OIDC is the preferred protocol when customers ask "can you do SAML?", I am willing to bet that most customers would integrate just fine either way.