There must be history here I haven't seen. My reading of her post is that her child falls close to the age cutoff for school, and since he's bored and therefore behaving badly in preschool they did some testing.

OP, if he's three, don't you have another year before you need to apply to the school? Even another six months would make a difference to compliance, but since you've already given him both the SB and the WPPSI, it will have to be a year before you retest.