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In Poland there are not many institutions federated with eduGAIN or PIONIER.Id, therefore an important fraction of the users have no access to federated ids.
EGI
EGI users are mostly using credentials released by the IGTF federation. the X509 technology is fulfilling the diverse use cases of the EGI community. Never the less EGI also has many use cases of users using federated identities, there is not direct integration with the EGI resources, but science gateways and other web user interfaces have been successfully integrated with eduGAIN federated IdPs or in general with other non-IGTF IdPs.
In summary at the moment of writing EGI users can use - if needed - credentials from federation different from IGTF, but not being directly integrated in the resources, this feature must be implemented differently for every use case.
EGI strategy is to push forward the integration with federated identity providers directly in the services. The expectations are to have direct SSO support for the operational tools that enable federation and cloud services. HTC services will likely leverage on translation mechanisms to X509.
To implement this integration, a uniform policy of attribute release and automatic management of the Level of Assurance (LoA) would be beneficial.