Hey Russ,
The answer is ... yes and no. That is, looking at period photos of WBTS soldiers on both sides, if the barrel is still blue, the socket of the bayonet is also still blue, as it was originally issued (you can see this clear as a bell in some period photos, with a really good contrast between the bright blade and the blued socket).
But when the blueing was removed from the barrel, whenever/wherever and by whomever, the bayonet socket blueing also seems to have been removed. I can't recall seeing a period image of a bright-barrel Enfield with a blued bayonet, or vice versa.
Geoff