I think you underestimate how breeders work. They have a huge network in place and in most countries there are national organizations aimed at "dogs finding love". :) You know, pedigree and all that jazz. There may be a market for this, but to cater to it you'd have to be much less cute and more professional.
And while on the topic of actually getting offspring from this "love", it might not be such a good idea to have any random Joe off the street get the idea to have "ooooh puppies!" and then down the line realize that having eight of them at eight weeks old is ... actually quite the job (and at this point things get nasty).
Add to that that some dogs just should not breed due to various weaknesses, excessive inbreeding in the past yada yada.
That was a tangent, but to respond to poster: dogs/owners running around having a playmate for a few hours, great. :)
This may come out as a dog-owner dating site :)