No they do not. The Children call him that.
Architect is not a greek word. Arkhitektōn is. If they wanted to use that, they could have easily.
Arkhitekton also doesn't sound very cool. Corypheus does.
And again, the Architect significantly predates Corypheus in the development process. It's possible that the decision to use the greek versions of the titles wasn't made until after the Architect's introduction way back in The Calling.
And the amnesia angle works pretty well here; The Architect doesn't remember his pre-darkspawn existence, so perhaps Arkhitekton was his title as a magister and as a darkspawn, he only remembers an echo of it, which he took as his name.
He was the Dragon of Love and Beauty. An Architect could build beautiful things.
Really, it could be as simple as him being the one that built the structure that would allow them to spill the blood of hundreds of slaves over a ton of lyrium. The name is only the part they played in the ritual.
For instance, Corypheus is the "conductor", meaning, he was probably the one who lead the others through the magic required.
Unless one interprets conductor as in the one leading an orchestra, it is not related to Dumat, the Dragon of Silence.
Personally, were I to hazard a guess, I'd peg the Architect as an acolyte of Zazikel. An Architect builds to bring order to chaos, which has the same kind of poetic irony as a conductor of silence.