Well, the thing is, this TL has no British Empire. Unless you want to try and claim somewhere like Denmark in 1901 counts as an empire. The only crown colonies are Freedonia, a couple of other places in West Africa, British Honduras, the British West Indies, and the Mosquito Coast (and those last three are liable to be sucked up into the ENA).
There's the ENA, but that's like Ireland - aligned with Britain, shares a monarch, but it doesn't take orders from London anymore, or at least not automatically.
Meanwhile India, Guinea and Natal are all run by the EIC or the RAC, neither of which are under the control of the British Government.
The only way this is a Britwank - and if then only to the same extent as OTL - is if you regard wankage as cultural rather than political. I.e. by that argument the USA counts as a positive rather than a negative for Britwank because it helps boost the English language and also disassociates it from a single political entity. But by that argument, the 18th and early 19th centuries in OTL were a Germanwank, because of the sheer number of German settlers in the USA and the ensuing cultural influence. And I think people would find it hard to regard that as a 'wank' by any normal definition.