The v1 or "errors" always generally sold for more just because they were the first of the kind. I do agree that the v2s have a scarcity thing going for them. I think in the near future they will both be selling for about the same no matter where btc is at. My 2 cents.
I agree, the v1's seem to go for higher in general, but I think that may change in the long term as collectors become more familiar with the series and mintages. I agree with OP that the 2011 S2
should be valued more than the S1, but prior sales indicate otherwise.