17 U.S.C. § 107
Notwithstanding the provisions of sections 17 U.S.C. § 106 and 17 U.S.C. § 106A, the fair use of a copyrighted work, including such use by reproduction in copies or phonorecords or by any other means specified by that section, for purposes such as criticism, comment, news reporting, teaching (including multiple copies for classroom use), scholarship, or research, is not an infringement of copyright. In determining whether the use made of a work in any particular case is a fair use the factors to be considered shall include:
1. the purpose and character of the use, including whether such use is of a commercial nature or is for nonprofit educational purposes;
2. the nature of the copyrighted work;
3. the amount and substantiality of the portion used in relation to the copyrighted work as a whole; and
4. the effect of the use upon the potential market for or value of the copyrighted work.
The fact that a work is unpublished shall not itself bar a finding of fair use if such finding is made upon consideration of all the above factors.
Also from Google copyright takedown page:
Do not make false claims. Misuse of this process may result in the suspension of your account or other legal consequences.
Precedent says Mr. Enter will be absolutely fine. (Maybe it'll make him consider joining Channel Awesome though- after all, it was a situation just like this that made Doug and Rob Walker form That Guy With The Glasses back on '08.)