EmpowerNZ, a forum put together by the McGuiness Institute, made a submission to the Constitutional Advisory Panel as well. The group comprises of about 40 young New Zealanders of various backgrounds. While its submission took a more middle-of-the-road approach (i.e. a New Zealander as head of State will happen, but it's not a priority) the survey results the submission appears to show much stronger support than the submission itself portrays.
As you can see from the image, a majority of the participants (51%) supported a New Zealander as head of State. While this is hardly a representative sample, what stands out in the survey is that a Kiwi head of State is obviously one of the most strongly supported changes (alongside a four-year term of parliament) that the participants wanted.
Also of interest is the responses. There's a lot of the same old tired arguments against a New Zealand head of State and a number of new ones for. Let's hope the CAP make note of this in their report.