The low noise adapter by Noctua is a simple fan header extension with a resistor attached in the middle of the extender where you can notice a bulge in the wiring.
The fan you've chosen to connect the LNA to is a bad choice. Corsair fans were supposed to be
the fan to go to when they first launched but now hey seem to lack in the QC department with sometimes rattling fans/fan blades or fan housing and the fans themselves break down over time and I'm not exactly sure but if you plan to mount them horizontally they will rattle themselves off. Furthermore what you're trying to achieve is lowering the RPM(via the resistor) = lowering the voltage to the fan and thus undervolting - this is not something that is universally appreciated on the fan motor as some brands work flawlessly at lower rpms while others make a whine, ticking or grinding noise when set below a specific threshold.
I own the Noctua NF P12, Scythe GT AP15(legendary)+Jyuni, Bitfenix Spectre Pros and thermaltake thunderblades and the Scythe GT's are the best fans to undervolt. If you have access to Swiftech's Helix fans then they also undervolt fine!
To answer your question:
The LNA will work on any 3 pin fan header and will also most certainly work with any 3 pin LED fan but the LED brightness will be reduced,logically as you're supplying less volts to the fan but it
will not work with PWM fans in general unless you forcefully remove the 4th pin on the PWM female fan header.
More info:
http://www.noctua.at/main.php?show=faqs&step=2&lng=en&products_id=25
Finally is the Noctua NF P12 fan you own PWM or non PWM?