I assume that somewhere in your education you had to take physics. What makes you think that your shoes are going to do any better job of keeping you from falling if you get hit, slip or fall? Sticking a leg (or arm) out in a collision, slip or crash does nothing to slow you down nor does it "catch" you. The least it's going to do is to cause muscle tears and the worst is a compound fracture that takes months to heal.

To paraphrase a great blue...um...creature: "Keep your hands and arms [and legs] inside the carpet!"