I’m not sure if this is intentional or not, but I was playing an arena game with Disguised K’thir, which transforms into a random card in your opponent’s deck each turn it’s in your hand. It’s effect is similar to cards like Chameleos and Molten Blade.
My K’thir turned into two different Quickdraw cards across two different games: Horseshoe Slinger and Azerite Chain Gang. While it presented as these cards, it did not show a yellow highlight indicating it was active. I didn’t get to play the Slinger, but I did play the Chain Gang and it only activated the Battlecry and not the Quickdraw.
I can see why it wouldn’t work, as technically the card was in my hand the whole time. However, it would certainly make K’thir feel more viable if it could interact positively with your opponent’s Quickdraw cards. It would also be great for cards with similar effects. I know there are no Quickdraw weapons, but the image of turning a Molten Blade into a Revolver and getting a combo off sounds really fun!