Been a while I know but it's done!

I used VMWare's updates to do it; nothing from HPE (I'll probably use HPE's images when I do a full-on upGRADE at the of the year.

Updated vCenter to the latest version of 7.0.3. Took what they said it would (a couple hours).

Remediated one host (of two). This took 10 minutes.

We don't have vMotion (Essentials plus in budget for next FY) so I used StarWinds V2V to move my vCenter from Host 2 to the now-updated Host 1. This took all day; can't wait for vMotion.

Remediated Host 2.

Thanks everyone for advice and help.