This is the weirdest thing...

"So, if I decide to sell my Pet to Hannah and become the Pet Parent, what is the process? I am concerned that I will not be able to afford all of the costs to care for my Pet now and in the future and don’t want to face having to give him up.
Maybe. First, Hannah has to examine the Pet to make sure it is behaviorally and medically eligible to be a Hannah Pet, so you would need to do a little paperwork to get things moving. Then Hannah would arrange for the evaluations with a behavior expert and one of our veterinarians– we would also need you to tell us as much as you can about your Pet’s behavior and medical history.
If Hannah determines that your Pet is eligible to become a Hannah Pet and you want to move forward, you will then have to legally sell it to Hannah (for a price both you and Hannah agree to) and go through the matching process (which includes paying a Matching Fee). If you are not a good match for your former Pet, Hannah’s Lifetime Matching Program will identify that fact and you won’t be matched to it (provided you are honest on the computerized tool). If the Pet is not found to be a good match for you, you will be matched with one that is – and you can accept that Pet and your former Pet will also be matched with a different Hannah Pet Parent. If you choose to have “approval rights” as part of the sale agreement with Hannah for your former Pet, you can disapprove of Hannah’s match for a new Hannah Pet Parent and have the option to repurchase your Pet for what Hannah paid you for it; the Matching Fee is not refundable if we are able to find you a good match. If you are matched with your former Pet, you have the choice of “re-homing” it in your home with any problems we find addressed, or trying another Pet – whichever you choose. Under either scenario, you can have Hannah take any Hannah Pet back and match you with a different Pet at any time in the future – regardless of where the Pet came from."

37.
Where did this specific puppy/dog come from?
Hannah Pets come from not-for-profit animal welfare organizations and families. Many times we simply don’t know where the pet originally came from because the shelter does not know. In the case of an individual, the Pet may be the result of an accidental mating, a stray, a rescue, a hardship situation, or any number of other situations that we have previously discussed. We have made it a policy not to release the source of any particular Pet or Pet demographic statistics because we often don’t know the initial source and because of privacy laws that prevent us from finding out. It doesn’t really matter anyway because what we can tell you is, the Pet has passed the health and behavior testing and we will take care of the Pet for his or her entire life – and the Pet Parent’s only financial responsibility is the monthly Pet Support Fee, which we believe is less than half of what you would otherwise pay.

It says they get them from shelters, rescues and private people rehoming dogs. They also mention they hope to work out a deal to place service dog washouts. One could easily find plenty of dogs in my area to take and rehome in this manner. Especially with popular breeds and mixes.

3 month toy and designer dog puppies? Almost every dog on their site is some sort of desirable breed puppy.

You can do the exact same thing for free.

It's called fostering.