Pretty much every dog trainer in the world will tell you different dogs are motivated to different degrees by different things. Very weird point to argue on.

I have two purebred poodles (not bred for Instagram) and one is highly motivated by food, the other will decline treats pretty often, even treats we know he really loves. This is not super atypical of poodles.

And to put another layer of complication on your dismissal of other people's challenges training dogs: the not food-motivated one is way easier to train.

I have a German Shepherd who isn’t toy motivated, but will climb mountains to play tug.

Don’t assume your experience is universal, especially when there’s a lot of people telling you it isn’t.

Well, I have a lab that is not. She is however motivated by fetch. She is not very smart as labs go, but she would move a mountain for you if it means one more toss of a toy. If you have a toy food does not exist. She will still do things for treats, but will also just decide not to if it suits her :)

Some generations of labradoodles are hypoallergenic from my understanding.

There are no hypoallergenic dogs. There are degrees to which dogs shed, but it's not specific to any one breed and can vary wildly.

https://www.akc.org/dog-breeds/hypoallergenic-dogs/

That's just false reasoning for buying an Instagram fad dog, save admitting they are buying a fashion accesory

(Yes I'm annoyed by those who buy a dog to be an accessory and don't bother training them. There are loads of them where I live and they are annoying at best and menaces at worst)

I have a xolo that has been diagnosed anorectic by a veterinary. I'll agree it's not common tho, I didn't know dogs could get such a diagnosis until my own dog got it