I don't even play this one but I don't see any reason to limit it.
I mean, if Purgatrio or Ancient Gear Golem hit this little fella, that's INSTA LOSE for your opponent lol.
Chicken Game can be Cosmic Cycloned. Yet it doesn't stop TCG from putting Chicken Game into Forbidden, because the opposing player has to draw Cosmic Cyclone first to get rid of it. And that's if the Cosmic Cyclone isn't getting negated.
However, saying that you can destroy it while it is face-down with a removal effect, is definitely a much better suggestion than saying we should use Purgatrio or Ancient Gear Golem.
There are many ways to counter this card.
Many synchro and other monsters can destroy or banish cards - Rose dragon, Darklord Desire, Treacherous trap hole, Dark lord dragon, Vermillion dragon, Snipe hunter, Alternative dragon, etc. etc.
Armades and Samurai destroer can just attack it without triggering its flipping effect
You can use Forbidden chalice or other effects negating cards
What deck I'm playing is irrelevant. Any deck can have moments where they cannot draw the removal cards quickly. Even you says "not really", indicating that while you draw the removal easily, but there are times when that does NOT happen.
If a monster should not get hit just because of removal cards, we wouldn't have any monster in OCG/TCG banlist, because people can just use Traptrix with Floodgate Trap Hole, right?
Yet, that's definitely not the case. We do have monsters on the banlist, because the outs to those monsters are NOT always gonna be in your hand within the first few turns.