That sounds more like 200ish VA per winding, that's a pretty beefy core.
Let's see, Ae = 1830 mm^2, le = 224 mm, if Bmax = 1.2T, it should be 0.585 V/t. Triple what you tested it at. Could it actually be like, 380, 400V--?
Or it's over-wound for exceptional low core loss, of course this increases copper loss, or reduces VA rating for given [reduced total] loss.
Distortion is independent of load. You want to drive the -- say you take the 10t test winding, and put that on a 6.3V (or even 12.6V!) transformer plus a 1-ohm power resistor in series to limit current, and read the waveform on the winding. Plug it into a variac and give it a spin, see where the voltage starts clamping down at / waveform goes flat in spots (at onset of saturation, it looks like crossover distortion).
As for inductance, say mu_r = 10k, A_L = mu Ae/le, about 100uH/t^2, ballpark 200 turns should be 4.1H. So 8H is very reasonable, but mind it may read as low as some 100s mH at small signal levels because steel is nonlinear like that (mu_i can be < 1000).
Tim