I think the definition of British, as you have just said, is a problem.
As that podcast said, for the Americans it is a matter of bring not Russian, Not Greek, Not Syrian etc... Rather than being American. I feel that with the "British Ethos" that is also a factor. Giving orthodoxy a British Ethos often becomes a matter of not giving it a different cultural one, which is one of the ways I found the BOC, because I wanted Orthodoxy without a Russian ethos.
"The true Christian is a warrior making his way through the regiments of the invisible enemy to his heavenly homeland." - St Herman of Alaska.