The reader is billed as a 14443A reader so it should read both mifare and NTAG216 tags, but it is labeled specifically a mifare reader, it may be limiting the card types to only mifare. Seems odd, but possible.
Typically the issue is coupling… I’ve bought similar units in both 125khz and 13.56MHz and they simply wont read glass implants due to poor coupling. I would try to check it with full size NTAG216 cards. It may just have a poor antenna design. Many of these style units do.
One thing I’ve learned about DT product offerings (the hard way) that they may be more expensive than the alternatives that are out there, but they have already been tested and you know they will work. See my adventure trying to save a few bucks on the PN532 here: Success! PN532 is not easy to work with!