I see no problem with this. Somehow we have to get the word out that they shouldn't wait -- they need to apply NOW! (Like, before the hammer falls?)
OTOH, how long does it take to apply simply to immigrate? I seem to recall that New Zealand's procedures take only a couple of months or so.
Good idea. Maybe we need some yard signs, bumper stickers, and t-shirts and stuff that urge our disgruntled leftist neighbors that seeking refugee status in Canada is the right thing to do, and they should start now to avoid the rush ;0)