Hi Tony,
To me such definitions are not forced or artificial, but flow naturally from answering different questions:
- Business requirements help me answer 'why?'
- Stakeholder requirements help me answer 'what?'
- Solution requirements help me answer 'how?'
I catalogue requirements not just to analyze them but to keep track of which are currently met/not met, update them as the business evolves, package collections of them for specific projects or to communicate a subset to specfiic stakeholders, and answer questions from executives like 'So why are we spending money on project X anyway?'. Having a type categorization, along with proper relationships documented, helps me to do this easier. If I was performing analysis on a specific system, process or organization unit I would look at all of the requirements of all types that relate to the area in question.
To try and understand where you're coming from, how is using the term 'essential requirements' to describe a specific type of requirement any different than adding any other adjective in front of the word requirement? Do you believe that it's not necessary to differentiate between different types of requirements, or that there really aren't different types of requirements but just 'requirements'?