I fully agree. Zooming in on your example: I think by the definition of NVC on Wikipedia, "I need us to work as a team" is not a need as in "universal human need". It's the deposition of an assertion ("team work means not leaving work before all tickets are resolved"), wrongly or maliciously expressed as a need.

IMO the best way to respond to that would be "Aaron-santos, I understand that you feel disappointed now. Unfortunately I absolutely need to leave at X o'clock. How about we make a plan for tackling this insane workload such that everybody on the team feels supported?"