I think he has too much injury history to book his full value, and as a 3-and-D player that would really be his full value right there. That's Aaron Afflalo's money.
I don't see Bradley as a "3 and D" player at all. I think he's got the potential to be much more than that.
I see Battier and Bruce Bowen as "3 and D" players. They literally had no skiils outside of defence and spot-up threes.
Bradley is a borderline elite athlete. He moves very well without the ball and is highly skilled as a cutter. He's got a very capable pull-up jumper from midrange. He's now capable of creating his own shot with some consistency.
Then on top of that, take a look at how far he improved as a player last season. He just went from a pure defensive role player (who was considered a major liability) to the Celtics' #2 scoring option in the space of one season, and his nice shooting percentages were proof that those scoring numbers weren't purely the result of lots of touches on a bad team.
Bradley pretty much redefined who he is as a player with the offensive improvements he made last season, yet he's still only 22 years old - who knows how good he could be a couple of years from now IF he stays healthy.
Really there are only two things holding back Bradley's value on the open market:
1) His lack of effectivess at the PG spot (which limits his flexibility)
2) His injury history
If you look at the player he is right now (15 PPG, 46%/40%/80% shooting, former All-Defensive 2nd team) that's already about an $8M/year player.
His injury history will certainly bring that down, probably to around $5M or $6M/year.
Now factor in his upside. Considering his long wingspan, his athletic ability and the fact that he's only 22 years old, he already had high potential. The dramatic improvements he made to his offensive game last season have just pushed that potential even further. That upside pushes his value up, probably back up to the $7m - $8m range.
I don't think Bradley will be offered $9m to be honest, but an offer in the $7m-$8m range wouldn't surprise me at all given that his potential presents an opportunity which pretty much offsets any risk that is presentd by his injury history.
I don't see any reason to believe Bradley can't be as good as (or better than) Afflalo a year or two from now. Afflalo had a breakout season last year that surprised a lot of people, but before that he was pretty much living in a shadow. I think there is a very legitimate possiblity that Bradley breaks out in a very similar way much sooner than many people think.