In addition to that, I always thought DevOps meant operations people using development practices and tools to automate and simplify their lives? Does it have to be more complex than that?
You still then have a friction point between "dev" and "ops" relating to hand off. Ops could go full PaaS, but more than likely you'll end up with a "cloud" infrastructure where your dev team will have to learn ops, or the traditional model where stuff gets thrown over the fence. Good luck deploying that service because there was no capacity planning and it'll take 6-8 weeks to get hardware from the vendor, regardless of whether ops can rack it and build it in under a day.
It's far better to have an org overlap so that ops is involved in dev planning to help address roadblocks, assist in capacity planning and management, as well as help reduce friction in tasks.
Before operations lived off tickets which just said what I did not how long it really took or if my estimates were off.