Thank you! That makes sense. I got caught up on the "declare whether it will walk or run" wording of standing up (TW p.50 and BMM p.19) because I think of MASC as a speed faster than run, but really it's just a special kind of run.
Per BMM p.116 and TacOps p.345, the Supercharger "follows the same rules to operate as MASC, with the following exceptions" and then lists exceptions that do not mention prone nor standing up, so whatever applies to MASC should implicitly apply to Supercharger.