I have a idea, I think you sould make a Special Promo Pet for Online Purchases Only, Kinda how the Gift Cards Work.
Each Month have a Different Pet of the same Type/Look for a year. (Then Move To Something New) You could start with a Death Unicorn, this would get People to shop/buy online more, and if they do already its kinda NOT fair for Gift Card people to have a Pet and Not the one that shop online. Some don't even have any of the store that sell them in there town(s).
Now this is Just a Idea, and I know you have done this before Ice Elf, Lightning Bat, ect...
I hope to see this added to the game soon, Thanks, The Pet Master .aka. Edward