There's something to be said about conserving heritage. For example, one CoA could be to retain one armoury as a historical museum and move all the other armouries' "museums" into it, while getting rid of the other ones and building a new "mega-armoury" to accommodate. But that leads to a few problems: deciding which armoury to retain, and many units (just like the reg force), don't like sharing. So there would be some time to acclimatise to that sort of change. Also keep in mind, people don't like change, i.e. it's been like this for 70+ years, who are you from Ottawa to dictate how we work?
As I mentioned before, it is a particular problem for occupants of the older historical armouries, and not those who are in "armouries" that date from the 70s or so. As for convincing... there's been a report on "rationalizing" the armouries in a certain city produced for the CCA at least 4 years ago, which would involve closing at least one armoury. The fact that nothing has been done (in fairness I haven't been following lately), would indicate that there is no appetite to do so.