Good Classical Conservatives respect and honor servicemen and women who serve with honor, in spite of the politics around different wars and other military activities. It goes back to Monarchies and service under the command of the Sovereign.
However, should The Pentagon Channel be available on U.S. territory? The same law that forbade the Bushies from paying domestic journalists (and pseudo-journalists) and pundits for favorable coverage (for which they have not been prosecuted to my knowledge), also forbids them from directly broadcasting domestically (which is why we can’t listen over the air to Voice of America Radio, FWIU a classy, relatively-independent and professional source of U.S. and international news and cultural broadcasting). The United States government is not permitted to disseminate propaganda internally, ie, to propagandize its own citizens. The government as such is not allowed to attempt to influence internal political views one way or another (though politicians and officeholders of course are). That would put government and taxpayer dollars flagrantly at the service of the party or persons in power. Of course, so does the Congressional franking privilege, ie, free postage to constituents, usually maximized during reelection campaigns! But theoretically that’s not its purpose.