The ref told him to sit down and receive medical attention, he had no choice, and he was sitting getting treatment while he was counted out, that is hardly fair. Its not like a broken toe is going to immobilize you very much- I broke 2 of my middle toes (got stepped on) during a soccer game and still played, its moreso a nuisance than anything else when your have that much adrenalin in your system. Its not like he didnt have 4 other toes to stand on and the rest of his foot, the toes are for pushing and somewhat balancing.
Its like getting a cut in the ufc and the ref calling the fight while you are getting it patched up because its taking too long. Yes the rules in taekwondo only allot 1 minute, but you lose points not disqualified unless its taking excessive time (forget number).