Yes, if NetworkManager is your OS network management tool.
Since your router supports DoH, you could also point Pi-hole to use your router as upstream.
In that case, you wouldn't need to use Pi-hole's NTP services in the way I've suggested. Just leave them turned off.
Instead of /etc/hosts/, you should probably use a host-record option, as that would give you control over the shadowed DNS record's TTL, e.g. to 3600, suggesting clients to refresh that domain once an hour.
You can add a host-record configuration line to Pi-hole via misc.dnsmasq_lines under Settings | All settings » Miscellaneous.
Shadowing public records involves the risk of using wrong IP addresses if public resolution changes, of mixing shadowed and public resolution if you were to forget to define A as well as AAAA records, and inability of using HTTPS connections to the shadowed domain.
I wouldn't generally recommend to shadow public DNS records for CNAME targets, but if you are willing to take the risk, its an option.
