|Owen Wilson in a Ninja Outfit|
I've played around with this ambiguity in the past... combining construct, intelligent item, and/or creature traits in a single object.
Most notably, a 'big bad' I had was a legendary intelligent sword named Oathbreaker which could animate other objects (pretending to be 'wielded' by a statue it had animated was a favorite trick), fly/attack on its own (with the BAB and feats of a high level fighter), initiate personality conflicts by impaling people, etc.
That's very cool! Intelligent items as constructs leads to some pretty interesting implications. Understandably, even if it's technically allowed by RAW, many GMs might not let players upgrade their own items like constructs, or give them feats and class levels, but some very cool things are possible. Our group had actually run a few sessions of an intelligent item campaign (we were evil items that would take over our wielders and throw them into danger), taking a couple creative liberties to make things workable, but if we had known at the time about intelligent items as constructs, things might've gotten a lot crazier.