Suhme was attested both in Hittite and Assyrian texts. In Hittite texts it is related to Hayasa but in Assyrian texts the same place do not show any evidence of Hayasa.
There can be two possibilities.
Either Hayasa desintegrated at 1250bc and didn't have any political continuation. Political discontinuity shouldn't be confused with ethnic one offcourse.
Either it had but with different name. It was frequent to have different names for the same polity. Petrosyan proposed that this different name was the Daiene.
There is another possibility that rise and expansion of Daiene kingdom put pressure on Hayasa and it disappeared.