Bonkers! Surely there must be a market for this? Also, I get that the selling point of heroku is kind of AWS for dummies, so you are probably slightly less likely to mess up because of that, but it's still some auto-scale-this, click together-that kinda of service. As far as hosting models are concerned, getting a dedicated box and running the stuff you want seems far safer, no?
Agreed, it's a matter of degree. You can auto-scale up to a certain amount, at least in Heroku, so in practice you can limit it, say up to 8 servers or something, but nothing beats your own box if you can afford the opportunity cost.