Elon is needed elsewhere. The point of him is to gut agencies until they're borderline breaking then force technological productivity and efficiencies on them. Removing technology to throw bodies at it for more money will never be feasible and so the updated apparatus will be resistant to reinfection by the deep state.

Having him as speaker would prevent long term gain for a small win when there are other people who could play defense the same way. The only upside to him would be watching the democrats fall over themselves screaming at someone with a social disability for not being able to play their social games.