Does the New Zealand government have any issues with students continuing their jobs while studying?

No, the New Zealand government allows international students to work part-time while studying, as long as you follow your visa conditions.

You can typically work up to 25 hours per week during academic terms and full-time during scheduled breaks. It's important to prioritize your studies and not exceed these work limits, as violating visa rules can result in serious consequences like visa cancellation or bans on re-entry.

As long as you comply with these conditions, the government supports students working part-time while studying.