I don't agree that the Suns are "being constructed" at all. Almost no one on the current roster will still be with the team by the time they're relevant again; the only possible exceptions are Bledsoe, Goodwin, and Len, in that order, and I'd regard them all as long shots. Losing teams don't have identities except for being bad. What's Orlando's identity, or Cleveland's, or Charlotte's? Their identity is that they suck, period.
When the Suns will become good again, it will be because they somehow managed to acquire a franchise-reviving talent -- which they sure as heck haven't done yet. Then it will make sense to talk about their style, and what the coaching staff's vision is, and whatever else. Until then, they're just trying to put together a moderately entertaining product while waiting for the calendar pages to flip over.