Sure, if you are trusting 3rd party access to your data. Yet another layer of trust for a (niche) service that might just vanish into thin air. No, thank you.
That's why Atlassian supports MD for Jira and Confluence. Google Docs is first and foremost a Word Online competitor.
I however understand your issue with privacy as any app can just steal your content without you knowing. The solution for privacy is to sandbox/jail the app into an environment where it can just access a limited set of resources, for example you can use an apparmor profile where the app can just access a special folder, and disable all networking. That special folder could be your google drive mount.