Platform as a Service didn't get absorbed by Amazon, or anyone else
At one time, it was assumed that the cloud infrastructure that people use would also serve as a development platform. IaaS and PaaS would simply merge into one thing. The Red Hat OpenShift and Cloud Foundry examples show something different: each is a development platform that can be used to build applications to run in multiple clouds. Or, PaaS remains distinct and one PaaS can work for many IaaS.