Origin: Latin suffix -al
Inconsequential has 4 different meanings across 1 category:
Something unimportant; something that does not matter.
lacking worth or importance
"his work seems trivial and inconsequential"
"the quite inconsequent fellow was managed like a puppet"
not following logically as a consequence
Having no consequence; not consequential; of little importance.
The word comes from adding the prefix in- to consequential. It originally meant "not having a consequence."