There is a lot of discussion and disagreement as to just how much attention should be paid to the TO category when drafting in fantasy basketball. Many people simply ignore the category, even when it is one that is being used for their league, because so many of the leagues best players come with a lot of TOs. Many others pay attention to TOs, knowing that many others ignore the category, and use it as a "secret" weapon against less knowledgeable or savvy competitors.
It is my opinion that TOs needs to be weighed in conjunction with the AST category, because the two are so closely related. The fact is that with assists come TOs, there's no avoiding it because the reality is that holding onto the ball more will cause players to collect more TOs. Teams that are strong in one category are usually weak in the other because they sort of work against each other since your aiming for the highest possible number in one and the lowest possible for the other. It's a similar relationship as the one shared between 3PTM and FG%, one usually comes at the expense of the other just because of the reality involved.
If you can accept that, then my next point seems pretty obvious. Instead of looking at TOs by itself, I think people should look at AST/TO ratio instead. The reason for this is that simply looking at a player and the amount of TOs they get doesn't paint a complete picture. You need to see whether those TOs are "justified", i.e. if they're coming at the expense of production in the AST category. Thus, it is also my opinion that a player who averages a lot of TOs isn't necessarily a player who will harm your ability to compete in the TO category, so long as he gets enough assists to make it worth it.
For example, drafting a player who averages a lot of TOs, but who also averages a lot of assists, i.e. Steve Nash, will allow you to more easily avoid high TO players later on in the draft since you won't be looking for as much assists production. Taking guys like Nash early on may look bad in the early part of the draft because you'll be so far behind other teams in the TO category, but it's very possible to then target low-TO players later on since you won't need to draft for assist production. In summation, you'd be reasonably able to compete in both AST and TOs categories.
On the contrary, drafting a player who averages a lot of TOs, but who doesn't get many assists either, i.e. Dwight Howard, will often kill all chances of you competing in both AST and TOs categories. By taking someone with very little production in assists, you will have to draft high assist players later on to compete in that category, most of whom will come with large TO numbers as well, making it almost impossible to compete in both categories. You could potentially still compete in TOs by taking all low-TO players afterwards, but that would make it almost impossible to compete in the AST category since production in both categories typically rise or fall together.
Some of this may sound very obvious, but I think some people fail to realize the implications of this aspect of AST/TO ratio. With this concept in mind, players who are typically criticized for getting too many TOs (and are thus avoided by some managers) suddenly don't look as bad because of the amount of assists they come with. It may surprise some people that Lebron, who is one of the players most people think is very damaging to competing in TOs, has a better AST/TO ratio than many of the players typically thought of as very helpful in competing in TOs, i.e. Marion, Rashard, Rasheed, Battier. While a guy like Marion remains helpful in competing in TOs because of all the other stats he brings (since, to some degree, all stats tend to come with more TOs), he is arguably less helpful than Lebron in competing in both AST and TO since you'd still have to end up drafting some high assist and, most likely, high TO players later on to compete in the AST category. On the other hand, it may surprise some people to know that players like Amare, Al Jeff, Kaman, GWall, and JSmoove are actually significantly more damaging to the TO category than someone like Lebron because of the absence of assists in their production. Taking any one of those players makes it very hard to compete in both AST and TO at the same time because they're producing a good number of TOs while giving you proportionally next to nothing in AST.
The bottom line is that I think people should realize that guys like Deron, Nash, or Lebron, who get more TOs than almost anyone in the league, are actually not as harmful to the TO category as most people would think. The players you really should be avoiding, if you want to compete in both AST and TO, are Amare, Al Jeff, or Yao. I think a true "secret" weapon that is not utilized as often as it could be is the AST/TO category, because paying more attention to it could give you a significant advantage in competing in both categories.

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