Is Object Storage able to support Cloudflare CNAME yet?

I have spent the last few days trying to get object storage in Linode working through Cloudflare using a CNAME (proxied). I can get it working if I use Cloudflare for DNS only (un-proxied), but I really prefer not to do that because I lose all of Cloudflare's protection features, it exposes my authoritative bucket name to anyone who can run a DNS query with a query tool (like dig in Linux), and it leads to SSL certificate errors (certificate is for a Linode domain - not mine).

I found a couple of older posts related to this, and this was the most recent:
How can i setting cloudflare CNAME link Object Storage and use CDN

@jcardillo, you seemed to have the best insight in that post. Are there any updates on this?

I think that Cloudflare is passing the host header through to Linode from the original request when I use the Proxy mode. I don't have an Enterprise account in Cloudflare, so I cannot enable the setting to override that behavior and make the host header match the assigned bucket name domain in the request to Linode.