Nice idea, but if it's not self hosted - it's not private.
So far private is more on level of not being public accessible, but only by invite. Implementation-wise it can be self hosted and safeguarded, like a private instance in public cloud or even on-premises. Options kept open but not pursued at first.
Probably room for tweaking on the tagline, certainly don't want to mislead potential users. Is there a better way to say this in tagline for the invite-only usage but not touching the security sense?
This tool is for all others too.