Any ballistic missile is a hypersonic missile, if you stretch the definition of hypersonic to the point of meaninglessness.
It seems the only real definition of “hypersonic” outside of speed, is that the missile is capable of performing evasive maneuvers during the terminal phase while at hypersonic velocity. Otherwise yea, every ballistic missile is hypersonic. I have to doubt that this system actually qualifies, you never know though, technology proliferates I guess.
Yes, I have read the definition is fuzzy, allowing for the possibility that they are lying, half of war is propaganda. On the counter, Yemen probably does have a true hypersonic or are very close to getting one. Their missiles program is decades old and goes back to when South Yemen was part of the Soviet camp. If they don’t have it now, they will have it before the war is over. Both Iran and Russia have hypersonic weapons, and I bet one of them if not both already sent them the designs for the Yemenis to locally assemble them.