It looks like Lowry lost the most in this trade. The purpose for the Lee trade - other than cap relief - was clearly to get a soldi back-up SG. SG is the position that Lowry slides over to earn more minutes. Now - unless AB is having a bad night - Lowry will likely be forced to play back-up minutes to a guy capable of playing 40 minutes a game. Also, he may have to fight Lee for back-up PG duties depending on Lee's ballhandling skils. Lee's defense could potentially be good enough to use him as a shut-down defender at the point when AB is resting and Lee could rotate between back-up SG and back-up PG. Big loss of minutes for Lowry if Lee comes on strong which he is expected to do.
Budinger appears to be the clear winner in this trade. His chief competition for SF minutes was Ariza. If Patterson matures into more of a PF than SF then Budinger is basically guaranteed at least back-up SF minutes. If not, Budinger gets to fight with a rookie for the back-up minutes. With Battier getting older or resting for playoff duty, Budinger might even get the starter nod if he comes into the season strong.
To summarize, Lowry gets a thrown into a logjam at PG/SG and the SF position opens up so Budinger can compete to be the starter.