This is interesting, but falls just short of explaining what's going on. Why does UDP work for ICMP? What does the final packet look like, and how is ICMP different from UDP? None of that is explained, it's just "do you want ICMP? Just use UDP" and that's it. It would have been OK if it were posted as a short reference to something common people might wonder about, but I don't know how often people try to reimplement…
The socket itself is an ICMP socket, but the ICMP shaped API just happened to fit into the UDP shaped hole. I'm sure some advanced UDP socket options will break or have weird side effects if your code tries to apply them.