The “paper” meeting is a long-standing tradition in NSW strata which is probably on firmer legal grounds now that phone, online and electronic voting is allowed.
One issue that constantly comes up is the right of non-owners to attend the meeting – which they can’t do if there is no physical meeting. But being legalistic, if there is no physical meeting, then there is nothing for them to attend.
The problem with a paper meeting is that it precludes often valuable ideas from other residents who aren’t in the inner circle.
I would recommend, in the circumstances outlined above, that you hold a quarterly full strata committee meeting, but make sure all residents know what’s being discussed and what the outcomes of those discussions were (via an agenda and minutes) so that the troublemaker can’t claim impropriety.
And in the meantime get a set of standing orders, backed up by a by-law, so you at least have the means to put this disruptive person back in their box.