There is no twirling allowed here either. Not in supermarkets.
I'm all for children being children - but I'm also all for safety of my daughter and other people. The amount of times I have nearly hit a child with a trolley because their parent thinks it's fine for them to run amok in a busy shopping centre is ridiculous. Then I get dirty looks for it.
I think learning what's appropriate behaviour in different areas is important, so I have no qualms about expecting my daughter to stand by me, not run around or act a fool, etc in a shopping centre. It's for her safety and that of others.
She can do silly things at home or at the park.