How do you have it set up through your hosting provider? It's not possible to set up a CNAME for a root domain. Typically, there is an A record for the root domain. Alternatively, you could set it up as an ALIAS record. The hosting provider should be able to confirm that for you.

https://support.ezoic.com/kb/article/how-to-update-add-dns-records-and-subdomains

My hosting provider is simply pointing to ezoic; ezoic is managing my DNS settings. So how do I do this via Ezoic DNS?

Ezoic is not your site host, the support seems to be confused because of the proxied connection - but they are absolutely managing your authoritative DNS. Ezoic is just keeping a copy to route the traffic properly through the proxy. https://support.ezoic.com/kb/article/why-do-my-online-dns-records-not-match-those-in-my-ezoic-dns-settings
https://support.ezoic.com/kb/article/if-i-have-my-domain-at-a-registrar-but-hosted-at-another-location-will-that-impact-changing-my-nameservers-from-my-hosts-at-my-registrar-to-ezoics

We've changed the only setting on our end that can adjust the canonical URL used for a visitor, that would route them to the www address. There is no change to the Ezoic DNS that would do this, and again we've done the only possible change on our end for you now.