Drakes tend to be used more as close assets than as, well, that, unless the drake is a social adept, in which case they get used as ... close assets in social situations. (A 'close asset' being different than a 'deniable asset'.)
Drakes are a) rare, b) valueable, and c) usually powerful (proportionately, anyhow). Since AFAIK it requires the Great Dragon in person to do whatever it is GDs do to drakes to claim them, it really only makes sense that subsequently the drake(s) would be working personally and, even if not directly, at most one stage removed from The Boss, along with frequent meet-and-greets. A drake might not be the corporate Chief Blank Officer to the Great Dragon's CEO/President, but he's at least a senior VP, and probably reports back to the GD directly, and in person.
So while your situation would normally be GD to voice to corporate relation manager to corporate cut-out to senior VP to CEO of corporation, if the Great Dragon needed to get a message to the senior VP or the CEO very quickly - or, more likely, with special emphasis - the drake shows up and says, "My master bids me say to you, the path of the righteous man is beset on all sides by the inequities of the selfish and the tyranny of evil men. Blessed is he who, in the name of charity and good will, shepherds the weak through the valley of the darkness. For he is truly his brother's keeper and the finder of lost children. And I will strike down upon thee with great vengeance and furious anger those who attempt to poison and destroy my brothers. And you will know I am the Lord when I lay my vengeance upon you." And the CEO knows that he hath done wrong, and goeth forth, and sins no more.
... sorry. Tarantino swiped my keyboard for a second there.
But the drake shows up and passes a message along - directly but indirectly, because he'd never say who his master was, everything about him would scream 'It's X!!' From his manner of dress, to his behavior, to his way of moving, his mode of address, everything. Or perhaps they'll refer to the 'voting bloc' their master controls. "The Master of the Wu-Tang Clan says ..." or 'the CEO of Trans-Latvian Enterprises desires ...' or whatever. Anyone who tracks such things passionately knows who is being X, Y, and/or Z, and you can bet that even if Damien Knight doesn't know the moment he wakes up with the drake standing at his bedside, he'll have a precis waiting for him next to his morning Cinnabon (TM, owned by Focus Brands, an affiliate of private equity firm Roark Capital Group, an Ares America subsidiary).