What I need to do though is get them all copied to my home backup server (the HTPC) on the regular...
That's insufficient. If one of then screws up, deletions will likely propagate to the other.
That's not the setup described at least. It's both of the services withing in parallel. > I use both Amazon Photos and Google Photos simultaneously
Your scenario would depend on Google being a backup for Amazon or vice versa.
So, yes, they could propagate but you have time to correct the mishap.
And if it’s a local backup, that local backup needs to be taken offline, to avoid the same issue if things get deleted in the cloud
What I need to do though is get them all copied to my home backup server (the HTPC) on the regular...