Yeah - it would have been impossible to use the bird.
Someone suggested this mess for us:
It's a combination flag like the Union Flag. One is a white cross on a purple background for Vinland (Newfoundland), the other is a green cross on a white background for Labrador.
But, if we were ever independent again, we'd have to use two official flags. Labrador does not feel at all represented by the tricolour and they have their own which is well and truly adopted by the people there (officially displayed at every town hall, etc.). So we'd have to fly these two everywhere:
Two flags would be a cute, additional quirk, though. And we can't combine them. There's no attractive way to mix those two flags without getting rid of something that's very symbolically important.