Technically no, other than testing, development, and integration, a payload is a payload. However nukes involve military infrastructure and there's treaty protocols like international observers and bases were nukes are supposed to be and not supposed to be. For instance Vandenberg and Cape Canaveral are where ballistic launches always occur. Violating these "norms" is an "escalation in tensions" and also means the other sides can do it too. Not tantamount to war, but a clear step away from controlling all the possible mistakes associated with nukes.
So as long as this hypersonic glider is never associated with or launches from a known nuke site, PGS thinks that all the other players will treat it as yet another weapon in our inventory and not a destabilizing game changer. Tomahawks have been down this path for decades.