Obvious reasoning but not the case. The fuel pump is the only of the two items which has moving parts inside. Moving parts wear out over time. A resistor does not (if will blown up if it gets severly overheated). With a worn fuel pump an additional resistor lowers the voltage at the fuel pump and reduces its fuel delivery even more. In the case of the NSX to the extend that you get hesitation. The cure pill is to bypass the resistor so the fuel pump gets higher voltage all through the rev band (12V instead of 9V below 4200 rpm). If you ask yourself why such a small voltage drop results in this the answer is that (esp. Denso) fuel pumps react very significant to voltage variations as fuel pump tests have delivered:
http://www.stealth316.com/2-fuelpumpguide.htm
This is a band aid as your fuel pump is still weak and on a track day with heavy fuel demands could let you run lean. But as darock observed it takes quite a long time until you get there. In the long run you should replace the fuel pump. That's a task I've the extraordinary pleasure to do today.