The figures tell you everything about torque and old slushboxes. Lack of ratios and a TORQUE converter mean torque is absolutely everything. Not just the amount but where it is and how far it is spread. Forget top end power, you simply cannot use it on an auto with anything approaching the mechanical sympathy due a 40 year old car.
2000
SC - 111 @ 2750
TC - 125 @ 3500
2200
SC - 126 @ 2500
TC - 135 @ 3000
The 2200 auto is very useful 20-25% quicker than a 2000 auto 0-60 with only 13.5% more torque BUT crucially @ 250 rpm lower. The bigger engine was a huge improvement. I've not driven a 2200 at all but I guess in manual form it is much more pleasant too.
The main lesson is that the 2000TC is an utterly abysmal choice for the auto (possibly the inappropriate HD8 carbs are more to blame here than the idea of a TC head). It barely makes the same torque as the 2200 with only one carb but at a whole 1000rpm higher! No doubt a 2000TC would work but most of the time it would be slower than a 2200SC very probably in practice slower even than a 2000SC in auto form. Not only that the power delivery would make likely make it jerky.
With the 2200TC it's less clear cut but clearly at the 2000-2500rpm point the SC will still likely have as much or more torque and work as well/better with the autobox.
Rover knew from the outset the performance of the auto was a problem and it is telling they didn't "solve" this by offering a TC auto. It's inconceivable that at some point they didn't try it with a factory prototype. The original 2000 auto was almost identical to a 1098cc Morris Minor 0-60, which was embarrassing for such a relatively expensive car. Clearly it was necessary for Rover's more "traditional" (i.e. old) buyers but it was slow even by mid-60s standards. Personally I have driven a 2000 auto and I liked it (would LOVE to try a good 2200 auto and a 2200TC manual). On the open road it is faster than you'd think and is a great way to use the P6 roadholding to keep your momentum up but in traffic these days it is not really comfortable, I suspect the 2200 auto if it really is that 20-25% quicker makes this a game changer as far as ownership today is concerned; it'd be about as quick as a 1.0 Hyundai i10....
There is nothing unusual about this; improving gas flow almost always loses low down torque. Same with TCs, big valves and gas-flowing. Of course in a manual you adapt your driving style and you gain more from the high-end power than you lose. None of this matters today with up to 9 gears in an automatic and electronic control.
Sure you could build a 2200TC auto but why on Earth would you want something that was probably no better or possibly slightly worse than the factory option? I know the instrument panel is nicer but.... Part of me would love a V8 with the Buick Jetfire turbo engine because it would look cool and sound amazing but I know I'd be far better off with a conventionally tuned 3.9 motor if I really wanted a hotter P6. The answer seems obvious to me keep your 2200TC original and buy either a 2200 auto or 3500 auto to suit. 4 cyl autos are the cheapest of the cheap and fairly plentiful.
Of course all this is "on paper", I love to be proved wrong. Other opinions are available, but I agree with Rover.