not really. ray allen complained about his diminished role with boston but accepted a bench position with the heat for less money.
Ray Allen wasn't getting a near-max contract from the Celtics back then. At the most, he's getting a mid-level exception so not much difference from what he is getting from the Heat now.
Here's a quote from Ray Allen when he left the Celtics:
"It was a business decision and the team put me in the position where we had to move. We had to go. Miami was a better choice for us based on what the team was doing, so it wasn't, don't boo me, boo the team in a sense. Now it's out of my control. ... When this contract situation came down, everybody in my circle - mom, family, brother, sister, friends from college, people who watched me since I was in high school and since I was in college - nobody wanted me to resign in that situation because they thought, ‘There [is] so much left in you and this team isn't taking care of you or treating you right.' That's the way I felt and it was like, if you are going to come and not put out a good contract on the table then, hey, we gotta think about going somewhere else."