If the police departments had their own dojo and training programs already, then obviously branding is everything with regards to Takeda, because why else would you train with a guy who would demand "would a bushi allow a technique to be applied to him?" There were no bushi and hadn't been for some time - bushi were a thing of the recent past.
Well, his badass reputation, what else?
Their training programs weren't any more modern that what he was doing, in most cases.
I think you're reading too much into that quote. In Japanese, especially Japanese of that era, it's more like "would a warrior allow a technique to be applied to him?" than what you're attempting to imply.