I really think that not only will Danny not renounce the free agents right away, I think it's quite likely he brings a lot, if not all, of them back.
The absolute worst thing DA could do would be do pull a Joe Dumars and blow all of his cap money on second tier free agents and condemn himself to perpetual mediocrity (or in Detroit's case, worse).
So I really think he'd be totally on board with bringing back Ray, Paul, Bass, Pietrus, and Green, particularly on one year deals. Now convincing the latter three to do this would be a tough sell; however, if Bass only finds MLE money out there, would he be willing to take a one year deal for 6-8 million. And with Jeff Green, does anyone really expect some team is going to offer him a long term deal until he proves he can stay on the court?
And by doing this, Danny does three key things:
1) He retains the value all of these players have.
2) He creates lots of expiring contracts.
3) He keeps the Celtics reasonably good. And while that may not seem like a great draft move, it could be good for a free agent sell. Do we really want free agents to start to associate Boston with the Charlottes and Tornotos of the world?