H1B Visa Renewal Stamping - Third country

Hello I am currently in US on HIB visa. Indian Citizen. My visa has expired and I have got my extension petition approved.

I am currently in a situation where I would need to travel to New Zealand for family reasons. I am travelling to New Zealand in Visit visa. I am planning to get my Visa stamped in New Zealand as I might not be able to travel to India during that time and have to return to US quickly for professional commitment. I have got my appointment there for Stamping.

I would like to understand if any risks associated with that and any past experiences of people getting VISA stamped from a third country like New Zealand.

What will you do if they reject your Visa!

Do you see a reason on why they will be rejecting the visa? General guidance states if you enter the third country legally it should be fine.
Let me know your thoughts