I don't think one lottery pick can change our fortunes immediately, at all.
But i do think:
1. The continued development of Olynyk, Vitor, Sully, Green, Bradley (at the two) and even Iverson as our enforcer (really hope he's with the team next year as our 3rd strin center)
2. The addition of a fully healthy Rondo
3. A top five lottery pick
4. One max contract player who's the right fit - procured either through trade or with cap space in 2015
5. A good mid level free agent signing to round things out
Could make us significantly better.
I also think all of the above are imminently possible by the end of the 2015 summer or roughly 20 months from now.
After Ainge has done the above - I'll take my lottery picks from New Jersey for the next few season as well, thank you very much.