Re: @AndrueC - @Carl W - I don't personally agree but...
> I did chose braking heavily
You described what you did as "slamming on the anchors" which sounds to me like an Emergency Stop or something close to it. If you'd done that with an Observer in the car, he'd probably have had a few words to say about it.
> The only major difference is that you seem to think that overtaking is the preferred option to get out of trouble
a) that was related to the situation you describe and
b) on a motorbike, often it is the best option to get yourself away from a dangerous situation as you've got a lot more acceleration available.
YMMV.