Questioning management

The realm of management is very wide. Want to get answers to a few questions and confusion the IT world has created.

My focus here is about project management - internal as well as external(client).

A manager (or whatever "name" you give), at onsite does the following or more:
1. Project Estimation and management
2. People Management
a. Internal (project team)
b. External (Client)

What should be the characteristics of a true global manager? Everything concludes with the following:
1. Communication
2. Analytical skills
3. People management skills

The world looks for only the first 2 parameters, more often the second one. Communication for a global manager is vital which at times is ignored.

But what is more disgusting is that the third parameter - People Management Skill is all the time neglected and never comes to the table. Not that people are ignorant about it's importance. So can't reason that "ignorance is bliss". As an individual, a person wants his superior and support team to be extremely good at people management which most often is lacked by himself.

Why is it not considered when a person is promoted to management or recruited? Anyone shares my opinion?

More detailed questions will follow...