I wouldn't expect you average local council tow truck driver to be aware of such a law so I wouldn't personally rely on that. Just leave your hazards on, it seems you can park anywhere you like if you leave your hazards on!
I meant baby human, in case you were looking for ways not to be towed, but the same objection would apply with animals, as hc suggests: you mightn't get towed, you would get prosecuted. The barn owls benevolent society is very hot on these things.
"it seems you can park anywhere you like if you leave your hazards on"
That seems to be true. I was just thinking the same thing the other day with a car parked on double yellows, half on and half off the pavement. Car had hazard warning lights on so obviously it was ok.