They're "also-rans". The NSSCDS was created by Cave DIvers in '73, before either was created for the sole purpose of training cave divers.
It's the only thing they do.
The NACD was earlier, but they imploded a number of years ago under some weird politics and I have no idea if they have ever recovered.
IANTD came a dozen years later.
TDI was an offshoot due to a personal conflict at IANTD.
Almost anyone can become an instructor for TDI and IANTD. Becoming an NSSCDS instructor is a lot, lot harder.
I hold certifications from all of the aforementioned agencies. I know instructors and instructor trainers from all of those agencies. For me, it's not even close. The NSSCDS is not a for-profit company. They only worry about safety, and not the bottom line. Harsh? Maybe? I know I'll ruffle a lot of feathers with my stance, and guess what: I don't have economic ties to any of the agencies mentioned. I was an SDI/TDI instructor, but stopped teaching a few years ago.
There is no perfect agency, not even GUE, and your course can only be as good as your instructor is. About GUE: they are truly awesome, and they actually charge what they are worth. I could never afford them. I know many there, including instructors, instructor trainers, the founders, and the founder of DIR. They are worth every cent.
There are even more we-do-it-all certification agencies that I haven't mentioned. They are all on par with IANTD and TDI/SDI in my book. They are jacks of all trades but a master of none. The NSSCDS does just one thing: Caves. They do it well. If you want a short list of great instructors for the NSSCDS, send me a DM and I'll do my best to tell you my favorite.
That is my personal opinion. It's what I truly believe. It may not be popular. It is still my opinion. Your opinion may vary from mine. This why I believe what I believe.