there's no clear answer. the titles are all over the map, both in terms of job responsibilities and in who one works for. I get contacted by recruiters on an almost daily basis for a range of internal/end user companies, consulting firms, etc. The titles range from NetSuite Admin, Business Systems Admin, Cloud Admin, Business Analyst, Financial Analyst, Financial Systems Admin, Business Systems Engineer, and more. I focus more on the descriptions and see if they match my skill set. (not that I'm looking)
The one thing I definitely agree on is to not focus or specialize too narrowly on NetSuite as a single system. It's great to be a SME, but no system is irreplaceable. Make sure you don't get dumped along with the system.