Be aware of the Data Privacy notice you must acknowledge when you submit your vax status. It basically says you no longer have any data privacy and they can send your health data anywhere and to anyone for any "legitimate purpose" which of course, they get to determine. It's purposefully and unnecessarily broad:
"Honeywell is collecting your COVID-19 vaccination status and processing a copy of your proof of vaccination for verification and audit purposes, and will use this information to... carry out our duty of care and other obligations to third parties; and for other legitimate purposes related to health, safety, HR, and workplace management and compliance with applicable law."
The excluded portion of the quote (sorry didn't feel like typing the whole thing) already includes coverage of the health plan and the government, so what are the other obligations to third parties they are being so vague about?