Yes, that wouldn't be too good as she might not feel the heat. don't they say birds have no feeling in their feet and that is why they can stand on ice and snow and not feel the cold.
@bruni@catsmeowb It might be the case for some birds, but my girls definitely have feeling in their feet - Magic loves having hers tickled when she's in the mood, and she will quickly jump off anything that's too hot/cold (like my plate of dinner!). Their feet are so dexterous (they use them as we use our hands) that feeling is crucial in using them effectively.