I've read lots of documentation like this, and I've seen nothing written by INZ that indicates an offer must match the visa applicant's work experience -- unless one is trying to claim the experience as a substitute for a qualification, which I'm not. Does my understanding match yours?
I agree with your understanding of those requirements. The mentions on that page in the Operational Manual are all for qualification OR work experience, and there's nothing demanding both. So the person from the agency was misleading with that 'and'.
Consider also, most people, if they get a job offer, will be applying first for a temporary work visa, since those can be processed more quickly and they won't be keeping the employer waiting any longer than necessary. And for that, if you look here
https://www.immigration.govt.nz/new-...BR&applying=no under the headings New Zealand Job Offer and Qualifications and/or Experience, you'll see that there is a greater reliance on what qualifications the employer requires in his/her employee. It's still within the framework of ANZSCO descriptions, and LTSSL if applicable, but in general terms, if the employer is happy that what you have bears out that you are suitable, that carries a lot of weight.
Just for completeness, for anyone reading this thread later, I should mention that there are some careers which, when you call them up on the INZ Skills Checker, show that INZ want to see (whatever) qualification AND x years' experience.