Gotta say no on this one, unless its something like the zebras where its a special release pet and not counted towards that month's completion at all.
I feel the trading scene is still too wild, even with the rarity adjustments - it can be seen in the monthly swap threads every time there is an outcome that it seems a higher number of people have missed, suddenly theres offers of CS and overpay left and right. I just don't see how feeding 'demand' with more rare + outcomes is going to help the situation any. Yes some lucky newbies might get the rare outcome and be able to swap it but most people will not and rich players will just throw around overpay to get the outcome like usual.
Edit - After reading all the comments over the past few days, I'm changing my vote to"not interested in any litters having significantly harder to achieve outcomes." Greed and overpay isn't exciting or engaging gameplay to me.