As Aaron Digulla already noted, ping is ICMP. This also means the originator even less trustable then with TCP; there's no SYN/ACK handshake. You just get an IP packet on your host, and you have to trust the header fields. Anyone can spoof those header fields, with almost no restrictions (It might be a bit challenging to get an IP claiming to come from 127.0.0.1 past a router)
Therefore, ICMP is not suitabel for verification tasks. You need a challenge/response protocol. TCP works reasoanbly well as long as you can trust the network but not necessarily all hosts on it (a reasonable assumption for the Internet. Not strong enough for financial transactions, which is why they use SSL)