School nursing in Aus

Hello - US RN looking to immigrate permanently to Australia.

I've been an OR nurse (theatre nurse?) for the majority of my 14 year career. But I'm looking to transition to school nursing and have been doing some substitute school nursing here in the US.

I can't make heads nor tails of school nursing in Aus. It doesn't seem to really be a thing. It looks like students can see a nurse in the school setting for primary care ("School based youth health nurses?"), and there are nurses that train school staff on how to handle students health needs, but that school nursing as we know it in the US does not really exist in Australia. In the US there is an RN permanently staffed at schools (or some busier ones in my district have an RN and 1 or 2 aides) that manage students day-to-day needs. Dispense meds, manage more complex health needs (asthma, diabetes, g-tubes), triage and administer first aid, vision/hearing screenings, immunizations. It appears that nurses do go around to do immunizations in Aus, but otherwise these health needs are met by regular school staff. Which is crazy to me? How do teachers teach while also having to manage health issues?

Is it different in private schools? I see lots of posting for school nurses for private schools and none for public schools. The private schools tend to be boarding schools and it looks like you're expected to live there and be on call 24/7.

Can someone demystify school nursing in Australia for me?

I have my OR nursing to fall back on and can use that experience to immigrate, but I'd love to provide triage care in a school setting if that's a thing.

Thanks in advance for any info!