I have heard no difference between an A-S701 (which is what i suspect would be inside the RN1000) and a A-S1200 (which is what i suspect would be inside the RN2000a).
Doesn't mean you can't hear a difference, but there is my opinion. Either there are no audible differences (my suspicion) or they are tiny and don't matter (could be) or they are fundamental and i have wooden ears (don't think so

).
On paper the A-S 1200 has more power into difficult loads, a bit more power and a vastly better phono pre-amp.
Then why did i keep the A-S 1200 over the A-S 701? For me it's more than just amplification, i also like a good looking amp with a certain heft and an aura of solidity. It just looks and feels great.
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If money is no problem, i'd go for the RN2000a. If you want to get rid of the 803D, i never had one to take pics and would be interested if you are in Europe.
If sound quality is your main concern and you don't care for heavy stuff, or money is tight, stick to what you have.