Agree with Moranis -- easy to see how both could be telling the truth from their perspectives.
Ainge: sending along a proposal that was considered for 2 days, right up until the deadline, may well have given him the sense that it was being seriously considered and hopeful that it'd go through. It could be nothing beyond that, or they may have expressed interest. Doesn't matter.
Sixers (Hinkie/Colangelo/both?): obviously gave the deal consideration in sitting on it for 2 days, but perhaps they couldn't warm up to it all that much.
-Or...they seriously considered the offer but, given Embiid is still an unknown (albeit looking good right now), it's still just too soon. The haul was enticing enough for them to seriously consider, though, for the very reason that it increased their odds so greatly of landing the #1 or #2 pick.
-Or...they may not be comfortable sharing that they were close, as that puts a value (that isn't so great, in a vacuum) on Okafor, who they will likely be moving in the not-so-distant future (depending on Embiid).