I was doing some research and found the following info from a Feb. 2 RealGM article to be amazing:
How pathetic is Rondo’s free throw shooting in 2010-11? Beyond belief pathetic. In 2010-11, Rondo had made only 33 free throws in 37 games (updated numbers show Rondo has made 54 free throws in 51 games -- still pitiful). In the entire history of the NBA, going back to the 46-47 season, for every single NBA player who averaged at least 35 minutes-per-game—in effect, for most every NBA starting player—there is only one player in NBA history has made fewer free throws on a per-minute basis. Only one player in one season in 65 years. Dennis Rodman in 93-94 with the San Antonio Spurs.
Rondo's free throw attempts per game has declined every season since he has been in the league. 
Nice bit of research. Just curious, but do you ever do research to show what a good defender or passer or rebounder Rondo is, or do you only look for ways to make him look bad? Because if that's your plan, you'd greatly enhance your case if you could do some research to show that Rondo has never made an all-star team or all-defense team. Just a thought.
As for your results, I ran three checks, all for players who played 25+ minutes. If you're interested in starters you could do that as well but playing the majority of the minutes seems good enough. I checked worst individual seasons (minimum 41 games), worst career totals in first 5 years (minimum 150 games) and worst career totals (minimum 250 games). Many people were tied with Rondo but here is the number of players that had worse numbers:
FT made per game
Single season 117
Career total first 5 years 72
Career total 78
FT made per minute played
Single season 36
Career total first 5 years 45
Career total 36
One would wonder how many times their search was run with different parameters to come up with the one that made Rondo look the worst.
Oh, and Rondo's free throw attempts per game have *not* declined every year he's been in the league.