When you have a hand of only 2 flux cost cards of two domains, one being Chaos, after you summon a Faceless Lord to get the 2nd domain it gives you a domain building the next turn, even though you have enough domain to cast everything. If you drop it down as a construction site, again you will draw another domain building. It's as if the Faceless Lord's domain production is not taken into account by autodraw.

Autodraw always gives you cards that you have in deck. It won't autodraw in such cases only if your deck is out of domain giving cards.