When I look at cloud, I get to think "finally! No more hardware to manage. No OS to manage". It's the best thing about the cloud, provided your workload is amenable to PaaS. It's great because I don't have to manage Windows or IIS. Microsoft does that part for me and significantly cheaper than it would be to employ me to do that work.
So not only do you spend time on the wrong thing you don't even know how it works. And the providers goals are not aligned either as all they care about is locking you in.
How is that better?
Yes, the cloud is _different_ to manage and has some of the same fundamentals to overcome such as security and networking, but lacks some of the very large pain points of managing an OS, like updates, ancillary local services, local accounts, and so on.
I'm not sure why you would state that it doesn't solve the problem I'm invested in -- namely operating websites. It is the perfect cloud workload.