Link-22 is not "better" than Link-16. It was designed when Link-16 was really expensive (because it contained it's own, sophisticated radio) as a "poor man's Link-16." The reason is it could use existing UHF and HF radios. It actually reuses a bunch of the Link-16 J-Series messages as NJ-Series. It was originally called NILE (NATO Improved Link Eleven), notice that doesn't imply superseding Link-16.
Since it was NATO led and not US led it took a long time. As well, for a long time, the US wasn't issuing codes. It also needs a box colled an SNC (System Network Controller) and they took a long time to develop. It also has no where near the bandwidth of Link-16, because it uses non specialized radios in the low UHF band (225-400 MHz) wheras Link-16 uses specialized radios higher up (1 GHz).
So, when the cost of Link-16 equipment came down Link-22 stagnated. It has been revitalized lately (my latest knowledge) for HF (I think the Germans pushed it) to, in effect, give a range extension for Link-16.
The radar has an IFF interogator, but it is only Modes 1, 2, 3A, 3C, and 4. Mode 5 had to be added to it, as the Aurora did as well. The radar is much too old to already have it.
However, it's not the interogator I'm concerned with, it's the transponder. The Mode 5 transponder part of Cyclone MFATMA (Multi Fleet Air Traffic Management Avionics Project) has been quite slow to mature. I hink (don't quote me) that Cyclone has actually been decoupled from MFATMA.
Mode 4 sunsetted in 2020 and codes were stopped being issued in favour of Mode 5. ADS-B is also required in US Domestic Controlled Arspace. The Cyclone needs both.
So, Link-16 is the much better choice. It's also what is ubiqutous.