Another example of why you shouldn't only look at price without factoring in value: Wii U Basic vs. Deluxe. The system didn't sell much yeah, but of what it did sell while the Basic was on shelves, the majority was the Deluxe model despite being $50 more expensive. The Basic model was discontinued in just a year.
Going back to the 2DS, I remember hearing that the more expensive models sold better, but I can't find a source for this. However we still have the ultimate source, sales! Looking at the effect it had on overall sales, it barely did anything. 2013 when the 2DS launched was the system's best year, but not by much. 14m compared to 12.5m in 2011 and 13.5m in 2012. Next year 2014 sales dropped to 8.5m.