I think ITTL the British might have sent those troops elsewhere since the Germans were a much more immediate threat in other parts of the Middle East so they probably couldn't afford to have an army sitting there doing nothing just in case of a hypothetical Soviet attack.without the Abadan Refinery Britains strategic position in the Far East crumbleS
In OTL they had a whole army ready to defend the Middle East from a northern invasion here they just don't bother?
ITTL it seems like the British kind of screwed themselves by hanging on too long, had they made peace with Germany sooner they would still be strong enough to ward off any aggressiveness by the Russians or Japanese.