Well, my argument is the same as in the old forums: not all organisations or formations have an emblem, and for some having an emblem would have a negative effect, whilst yet others employ other means to identify themselves. For instance, the People's Resistance is an illegal organisation, having an emblem and waiving it around will simply be asking for trouble- if someone's house is raided and the Cult finds it, the folks in the house are doomed- it simply provides extra proof for the common folk to see and stregthen the Cult's case- they really did catch the "dark ones" (since the Resistance is mostly Psy based, and look at how the crowd reacted to the execution escape). The Mechanics, on the other hand, have a very particular uniform and way of dressing- they're instantly recognisable, so in a way, their uniform is their emblem.
On the other hand, the Psy Academy, as an academic institution, might as well have a coat-of-arms, despite having its members wear a uniform (which is also relatively recognisable). The Shadowling Republic would probably need a new flag, possibly exactly the same as before, but without a crown (quite a few real-world examples here, think Italy, for one)?