Even if New Orleans is open to the Laker's offer, they'd be better off waiting until this summer to accept it anyway, as both their own and the Laker's 2019 first rounders will be favorably impacted by not doing the trade now. By not acquiring Davis now, the value of the Lakers offer can actually appreciate by the summertime.
I don't think there's much of a chance the Lakers walk back their offer either as 1) with the restrictions removed on the Celtics ability to deal and the uncertainties surrounding the lottery resolved, there'll be more competition for AD's services, not less, and 2) it's not like what the Laker's have on the table is an overpay, or anything close to it. The reason their offer isn't competitive is that they just flat out don't possess assets of sufficient value. Should their 2019 pick land favorably, their offer doesn't become overwhelming, it just becomes less shitty. If they then try compensate for the enhanced value of the 2019 pick by taking other elements off the table, I think they'll be getting the same response they are getting now.
Either way, I wouldn't be shocked to see AD dealt today. I would be shocked to see him go to the Lakers.