You're confidently incorrect to be claiming that one is not more government-based than the other. SLS follows the old model of NASA contracting where NASA sets

You're confidently incorrect to be claiming that one is not more government-based than the other. SLS follows the old model of NASA contracting where NASA sets all the design requirements and the contractor follows them (ie the choice of solid boosters, the use of Shuttle technology etc was all set by NASA and the final vehicle is owned and operated by NASA). The contractor is effectively given a blueprint and asked to build it, with all construction costs covered. This is in strong contrast to F9 and FH which follow the new model where the government only sets the rough requirements (payload capacity, target orbits, vibration tolerances etc) but doesn't care about the specific details (beyond making sure that they make technical sense). Payments are made for reaching specific milestones, how that relates to internal costs is entirely on the contractor and the final vehicle is still owned and operated by the contractor, with NASA acting as just another client. It's a much more hands off approach compared to SLS.