That's quite an interesting paper altogether but I think this bit from the paper itself might answer your question of why we in the UK don't advocate shook swarming AFB:
Although shaking AFB infected hives is an effective control method, there are also good arguments to continue stamping out of clinically diseased colonies where this method is used. In Sweden, this system has dramatically diminished the rate of clinically diseased colonies since applied in 1974 (Anon., 2005). Data from New Zealand also show that stamping out of clinically diseased colonies has decreased the number of colonies that become infected each year (Goodwin & Van Eaton, 1999). In Denmark, where shaking of AFB-diseased colonies is allowed, the prevalence of AFB is higher than in Sweden (Hansen, 1992).
edited to add: As for EFB - it lives in the guts of larvae and starves the larvae - it's passed on when the bees feed infected brood food to their larvae - so I believe the thinking behind shook swarming EFB colonies is to eliminate the infected larvae