Broadly independent but filled to the gills with folks who spent a decade or more at IBM before landing at Red Hat. While this has been true of rank and file for years, recently it’s true on the c-suite.
Was probably truer of middleware than other areas. (Which I gather is largely going over to IBM.) Linux had a very significant DEC legacy. OpenShift was essentially greenfield from a startup acquisition (that got totally rewritten for Kubernetes anyway) and I'm not sure I would characterize people in that area as broadly coming from any particular large vendor.