Would it be better to apply in the skilled migrant category which considers 5+ years of work experience or long term skilled category list which offers a pathway to residence?
People on the forum are not allowed, by NZ law, to give direct immigration advice. Please see these threads.
https://www.enz.org/forum/showthread.php?t=51538 https://www.enz.org/forum/showthread.php?t=24859
If you apply to NZQA for IQA, then yes, you should ask them if you can get a match for the ANZSCO code for your career for LTSSL.