BGQ, welcome to the discussion. I agree with your statement re. the Master CAUTION inhibit. Can't speak for your airline's aircraft, but with ours the Take Off Configuration is NOT inhibited until V1. One of the items it will trigger for is Parking Brake Set with associated Master WARNING red light and aural.
I agree the system should alert you at the early stage of things being wrong with the application of take off thrust, but there are documented cases where it has not triggered until very close to V1, some spurious, some actual.