Not receiving giveaways (Suggestion/Thought)

Yeah, that's annoying, but if you contact support about it they'll remove it.

I suppose its in place to keep people from marking that the didn't receive giveaways so that they can get into low-win groups and stuff.

The winner's name is in red, if the giveaway is marked as not received.

It does indicate that you didn't win it by showing your name in red, but I suppose it could be more obvious. Like a big, flashing sign that says "DID NOT RECEIVE THE GAME. SOME GUY WAS A JERK."

Only an imbecile would accuse you of winning the same game twice when your name is blatantly showing in red, and the giveaway was clearly marked as "not received".

I wouldn't worry. You won't get suspended, or re-rolled for it.

Well the fact that your name is in red in that giveaway will let people know it wasn't received. When your name is in green it'll indicate you received and should've activated it. I have a red one too and I'm not too worried about it. If anyone accuses me of shenanigans, I have proof in that giveaway.
And actually, there's probably more potential for exploitation if the game was allowed to not show. I can't think of what that may be exactly but those who always look for loopholes can probably find one.

I didn't know it showed it red so that solves the issues that could come, but I still don't think it should count in the number of gifts won.

You won't be accused of winning the same game twice if you didn't receive it from the gifter in your previous win.
If it bothers you though, you can always create a support ticket with a link to it (since it's private), and we'll delete it.

If you have the first one marked as not received, there shouldn't be any problem if you win it again.

:NO: it would break more than it would fix.

And as others mentioned, you won't be accused of double winning if you didn't actually win the first one.

Also, if you're concerned about getting into giveaways that require you to have zero wins, don't worry. The people running those giveaways are cool people who will not count your non-win.