I haven't sat in the boxes at the Booth, but I think that in the scheme of partial view seats, sitting in row J on that side of the theater (house right) would be quite good. I sat in row E house right for this show and had basically no complaints, so my guess is that something a few rows back would barely be considered partial view.
When I see the phrase "the ____ estate", I imagine a vast mansion in the country full of monocled men and high-collared women receiving letters about productions across the country and doing spit-takes at whatever they contain.
-Kad