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Not really as what you suggest is that one horizon is 0 and the other 12 which it isn't. There is twelve hours of RA between them but that is not the same. You are correct in assuming the two directions are twelve apart but you haven't swung the telescope though twelve hours of RA. In fact you wouldn't move the telescope in the way you suggest if following a celestial object.
As I understand it your starting point "pointing at the south pole" would be with the DA axis horizontal that is with the telescope on one side of the mount and the counterweight sticking out the opposite side. The telescope can then swing south to north in declination and can cover half the sky in RA.
Again as I understand it with an German Equitorial mount such as an EQ5 a problem is that the telescope has to swing round if you want to follow an object past the meridian otherwise the back of the scope bumps into the mount support.
I hope I am not leading you astray.
Roger
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