Thank you for posting, but I have to disagree with taking license to redefine an entire field of engineering:

> …I would like to define systems engineering as “analyzing different aspects of a system in order to better understand the performance or correctness characteristics”

Here is a much better definition of systems engineering from which to make your argument:

“Systems engineering is an interdisciplinary field of engineering and engineering management that focuses on how to design, integrate, and manage complex systems over their life cycles.” Wikipedia

Personally, I would add “specify” in addition to design, integrate, etc. based on my 30+ years of systems engineering.

This is about a subset of software engineering, not Systems Engineering as e.g. defined by IEEE 1220 or ISO 24748 or 24765.

See e.g. https://www.quora.com/Is-systems-engineer-an-IT-profession-o... or https://www.quora.com/What-are-good-books-on-system-s-engine...