There are many instances of this having been used successfully when warranty claims are dismissed out of hand by a warrantor.
The letter of the law:
15 USC 2302(c):
(c) Prohibition on conditions for written or implied warranty; waiver by Commission
No warrantor of a consumer product may condition his written or implied warranty of such product on the consumer’s using, in connection with such product, any article or service (other than article or service provided without charge under the terms of the warranty) which is identified by brand, trade, or corporate name; except that the prohibition of this subsection may be waived by the Commission if—
(1) the warrantor satisfies the Commission that the warranted product will function properly only if the article or service so identified is used in connection with the warranted product, and
(2) the Commission finds that such a waiver is in the public interest.
The Commission shall identify in the Federal Register, and permit public comment on, all applications for waiver of the prohibition of this subsection, and shall publish in the Federal Register its disposition of any such application, including the reasons therefor.
The interpretation:
Keeping Your Mod's Warranty Intact - For Dummies
Good luck with your claim!