Your ‘over it’ neighbour has an effective veto on any special resolution by-laws that may be required (By-laws only require 25 of the vote against to fail.
I would be coming up with a strategy that might bring him round – a bottle or two of red for his trouble and a financial contribution to the Owners Corp (which you should be making anyway) might do the trick.
But if the other balconies genuinely are unsafe, you could take your own Owners Corp to the CTTT to get an order to force them to maintain and repair common property.
By the way, if you have been informed that there is a health and safety risk on your balconies and someone gets hurt because they fail, all the owners could be liable and you may lose your insurance cover becasue of “constructive negligence”. That would be a very nasty and expensive day for all concerned.