Again a kick is not a punt.
Also, if it's live, why can't the kicking team recover it and take possession of it hasn't been touched by the receiving team?
I've already explained it, using the language directly from the NCAA rule book. You can refuse to believe it, but that doesn't make me wrong.
Also, a punt is considered a "scrimmage kick" and falls under the "Kicks" section of the rule book -- so yes, the word "kick" still applies.
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Legal and Illegal Kicks
ARTICLE 10.a. A legal scrimmage kick is a punt, drop kick or place kick made according to rule.
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