I finally talked to Fujifilm New Jersey on this issue. They indicated for everyone that had called in on this issue so far, was corrected by removing the batteries on the Instax SP1 for an hour as well as doing a Shooting Menu Reset and Set-up Reset on the camera. Once you have done that, re-entering the SSID and pin 1111 (default) on the X-Pro2 and powering back up the Instax.
Sadly, I had no luck with this fix and I am starting to think this is more...
X-Pro2 to Instax SP1 WiFi printing issue, firmware bug or defect?