Comprehensive girl, then onto to Oxford, after that to qualify as an accountant, Economic Director of Cable & Wireless, and then commenced political career to now become the Prime Minister.
Tell me, what have you done with your towering intellect that qualifies you to call a demonstrably clever person not very bright?
I think the Russians dubbed Thatcher as the Iron Lady. It was meant as a derogatory slur, but she rather liked it, and instead of taking it as an insult, she took it as a back handed compliment.
The Iron Weathercock is similarly meant to be offensive. Once they have to deal with her, they might regret making fun of her ability to change her mind (and then change it back again). But I cannot see this nickname sticking like the Thatcher one did.