As far as I'm aware, even with all the delays, the major operation behind the coup was running under rails until the Commander of the Reserve Army was called by Goebels, which was surrounded by the German reserve army in his ministry of propaganda, and Goebels put the Commander to speak with Hitler, which changed his alliegance immediatly. Other high military commanders were being ordered by the conspirators to arrest key SS members and commanders stationed in the same area of operations as themselves. Without Hitler being alive, the reserve army would continue doing it's job, and Himmler resisting would only lend credibility to the conspirators. It would be a case of "Damned if you do, damned if you don't."; I'm not sure what a chance Himmler would have at directing any resistance efforts if the whole SS and Nazi leaders were arrested in a couple of days.
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