@LVLAaron Are you talking about the foot brake switch?
If so whether you need a NO or NC depends upon your control circuit design and how you use it. You will note in my solid state circuit figure 3 (Part 2), that I use a NC type switch. It is shown at the top of the circuits, right in the center, just below the +24V notation. Hence, I simply used the switch that came with the lathe. No new purchase nor installation change. If I recall the EXT, VFD function input C005 can be configured to receive either logic level, "normally open or normally closed". This is done at input "C015, Input [5] active state 01:normally closed [... ". See Part 2 code sheet at the end of the document in yellow high-lite, pfd (page 48 I think). By the way the 7 VFD logic inputs are defined by the C001...C007 while the active logic levels are defined via C011... to C017. ( It appears that my logic input assignments are different from the document you just posted.... most of them are somewhat arbitrary as to function... you just use the pull down selection tab in the VFD programing.)
The by the way, in the factory circuit, Part 1, Figure 2 you will see that the foot brake switch was wired in series originally with the E-stop and cover inter-lock switches etc. Hence, they had to be NC to operate in series and this is both good and important. The factory did this correctly. There is a big safety concern about using normally open (NO) configurations. Suppose the wire connection fails/comes loose or breaks or even the switch fails (open), then you never know it has failed until you have a need for the function and you need to close the switch BUT the signal cannot get there because of closed cannot happen due to this failure. For this reason you want to hook things like the foot brake and the E-stop up with normally closed switches not normally open switches! Safety First!
Using the EXT input also has another advantage (at least I think it is an advantage). It puts the VFD/Motor into free run (free spin) and after you have an event, you must apply a reset command (my VFD input 7) to the VFD to get to continue to operate. I view the application of the foot brake to be an emergency event. You don't need to use it otherwise as you already have electronic braking. After you have this VFD conversion you will find that the e-brake is so effective that you never use the foot brake unless you have a serious problem.
The I took Mark's suggestion and set the e-brake time to 1 second. The secondary e-brake time (my VFD input #6 and is called Channel 2 (CH2) in the VFD vocabulary) is programed to 3 seconds and that is what I use almost all of the time. I have a front panel switches for these choices. I figure 3 seconds e-braking time causes less wear on the machine, motor, and motor belts than the 1 second braking. I only use the 1 second braking when I am using the proximity stop or if I want the motor to stop more quickly when I am feeding manually. I find that stopping in 1 second is usually over kill. Even in free run the spindle stops pretty quickly even with the three jaw chuck and a work part in it. There appears to be lots of friction in the motor, belts, and all of the gears. The mechanical foot brake IS very effective. It seems to stop the spindle even faster than the 1 second ebrake, but I have never tried to measure it. I will also probably eventually wear.
Dave L.