That could be as funny as Cat Agility.
My dog would probably interpret it as a Lap Dancing Competition . . . which would be interesting too. (She has occasional bursts of wanting to be a lap dog - but 43 pounds of wriggling energy doesn't work too well.)
For that matter, why have conformation competitions for lap dogs? Why bother to evaluate their structure at all, I mean, what difference does it really make if a Pekinese even has legs, let alone good legs? Why not just judge the hair and be done with it? :~)