High-status occupations may have plenty of but that does not necessarily mean that they either have great power or bring economic rewards.

I think that a good word for the empty space is "prestige".

Prestige is a quality that high-status occupations have. This means that people attribute a great value to this. An example of a prestigious job is a university professor.

However, prestigeous jobs (including university professors) might not be connected with power or with good payment.