The idea you presented on the video is a bit flawed. In fact, there's a nearly 2% chance of actually having the "regular joker" - which it isn't, with the red card in its hand - appear as the top card. Now, you can say that 2% is a tiny chance - and it is - but with each new performance of the trick, statistically speaking, you're bound to eventually reach that 2% chance and you won't know it until it's too late. That, plus the double lift idea seems a bit suspect, at least the way you handled it. AND EVEN MORE IMPORTANTLY, you fail to explain how you managed to force the right card on the spectator in the first place (and that card, too, has a 2% chance of winding up on the top of the deck, bringing the odds of a card-related screwup to almost 1 in 25 performances). Sure, you don't have to reveal the card force, but you do have to recognize the increased risk odds.
Think it will NEVER happen? I tried doing an "insurance policy" trick on a young girl once - I forced the correct card on her, I shuffled up the deck, pulled out a card, and it turned out to be the forced card! The trick ended rather abruptly. "Look, is this your card?" Bleah. It's easier to use a marked deck so you can insure that you aren't exposing the tricked-out card.
Better to keep it simple. The method used will in part depend on the method in which the reveal is presented.
If a reveal is of the type you just showed - joker holds a card in one hand, other joker reveals the card - there's a few ways to do it. One of the most popular would probably be using Shapeshifter. It's a stylized flip of two cards as one done to appear as if the card changed before your eyes.
Another method, believe it or not, would be to ditch the red-back-card joker for a real standard one. I've done it where I placed the "clean" joker on the table above the reveal joker, hiding the reveal. I then do a bit where I tell the spectator that I'm going to make their card appear between the jokers. Hocus pocus, and the don't see any new cards - until I tell them to spread the cards apart for me for a "closer look."
If a reveal is subtle enough, like the "3hearts" reveal in the Arcane decks from Ellusionist, I can simply leave the card face up in plain sight! They won't see a think until I ask them to look harder.
The thing of it is, though, is that reveals like this get tired fast. No one in their right mind thinks the card changed right in front of them - they assume it was always that way and you either switched it or misdirected their attention to keep you from noticing it. My personally-favorite way of using gaff cards is in a way that doesn't reveal the fact that you ever used a gaff card! You can't really get away with that using a reveal card. A personal favorite is using a double-backer with two different backs to make a "prediction card" not only the same suit and value as a signed card, but with the signature on it intact and the card back not matching the deck the spectator chose from.
I think I might have seen it first on the "Army of 52" DVD - which is unfortunately a little dated now that some of the included cards are no longer included in the gaff decks the video is designed to teach you to use. USPC's Legal Dep't. really created a hassle for magicians when they insisted there will be no more alterations to the Rider Back.