I find your strategy intriguing. Here's an interesting question that has correlation to position scarcity...
Often times people say that they draft the best available in the first few rounds, no matter what. What if you have the 3-5th pick of the draft and you take David Wright, and on the way back in the 2nd round, Ryan Braun is still on the board? Do you take him simply because he's the highest guy on your draft board, even though you already have a 3rd baseman? (I used Braun as an example but this can be done with any position...1b with any of the top 4, shortstop if somehow Rollins slipped to the 2nd round and you already had Hanley/Reyes...etc.)
What if your league has more than one utility spot (mine has 3)? Does that make it easier to pick two studs at the same position?
Basically, when do you start thinking about positional scarcity?
Yeah I would grab both if I have Wright and Braun ranked higher at that position than anyone else. Unless I view someone that is very close in value that is at another position, I wouldn't care if I filled the same position again.
I would think that more than 1 U spot would make it easier to focus on value and not position.
Around the middle of the draft I look at position more closely. If I have a breakout candidate at a certain position that I feel will finish top 25 for instance, then I will make sure I grab him despite players still available that are perceived as higher picks.
But everyone is different. I'm sure there are people who are successful when focusing on positions more than value. I just feel more comfortable knowing that I will get the production from the guys I pick early on no matter where they are. Also, I do quite a bit of retooling during the season. I find it easier to fill SS/2B during the season than OF for instance.