They don't directly address one way or the other whether D&D was part of their reason to decline the donation.
Honestly, they don't need to. Problems with sponsor-benefactor roles and the use of their logo is enough to put off most high-profile non-profits, businesses, and politicians right there. If you're not going to have any control over what is auctioned or how it is auctioned (like in this case), you've got to be extremely sensitive about the role of your organization. You don't want to be perceived as sponsoring other products or businesses, be they Dungeons and Dragons or Pepsi Cola.
We don't have a statement from CCF contradicting the LiveAuction statement.
We don't have a statement or quotation from CCF substantiating the LiveAuction statement either. For the most part, businesses and charities are well-advised to avoid calling other groups liars and engaging in finger-pointing when they can just give the issue a neutral-sounding brush-off. It is bad for business to act in the manner LiveAuction.com did, and that's a pretty good motivation for CCF and GenCon LLC to avoid muddying their boots in it.
- Marty Lund