Of course they could revert to splitting the EU queue back into two as it used to be - one for us Brits and one for the rest of the EU. And revert to a quick visual check of a Brit's passport, rather than the time consuming scan into the machine process. After all they have access to the passenger manifests and should be able to use their computers to identify anyone of interest. And if they still need to scan why not adopt the supermarket approach and place several scanners in the queue lines for us to do that job for them. Anyone the computer flags as of interest in each line would be flagged on their screen... It's basic system engineering really.
But I suspect the mighty EU would get upset at the unequal treatment of it's citizens (Shengen is of course a treaty so that's all right). And the politicos (who no doubt manage to avoid the pain of UKBA queues) wouldn't appreciate the possibility of a member of the press reporting success in passing through immigration on a grandma's passport.
But the British travelling public, and certainly those of us who travel often, but be delighted.