Apparently you got a slightly different top seven articles than I did... I got the Fox, CBS, and Mercury News ones, with the same result. The other two I got that didn't mention it until the end were from local stations (KGO and nbcbayarea.com, whatever that is).
Also, you and others are misunderstanding the causality here. The claim isn't that, if a Democrat gets into trouble, no one reports on their party affiliation. The claim is that, if you ever read an article in which party affiliation is not mentioned, the odds are very high that the person is a Democrat. So collecting examples where Democrats are identified doesn't even counter the claim we have existence proofs right here with the LA Times and CBS that it does happen. What's really needed is a broad sampling of articles in which party affiliation is not mentioned, then determining what the actual affiliations are in those cases.
Anyway, I don't think either one of us is going to do a scientifically valid study here. If you google "name that party" you can find a lot of other examples, pointed out by conservatives, of Democratic party affiliation not being mentioned, so the LA Times and CBS articles are not isolated examples. You're correct that that's not a scientific study either, and very susceptible to confirmation bias. It's worth noting that you never hear the same complaint from Democrats though.
I'm certainly willing to say that it's suspicious but unproven. Unlike you, I am not willing to call anyone a liar over it. You seem to be evidence in favor of Krauthammer's statement: "Conservatives think liberals are dumb, liberals think conservatives are evil." But maybe that's just confirmation bias on my part... :)