No, because Nicholas Kerensky Lied
As far as the Clans are concerned, the Not-Named Clan was destroyed utterly and completely, after they used a nuclear bomb to destroy another Clan's genetic heritage, amongst other crimes.
All of these claims, as revealed in the canon book Betrayal of Ideals, are in actuality lies.
The nuclear detonations, plural, were neither done by Clan Wolverine. The first was a frame-up job, the second was an accident.
Clan Wolverine was just challenging the new order of the Clans, specifically the caste system. Their power and influence was growing rampantly and their rival Clans conspired behind their backs to turn Nicholas Kerensky against them to destroy them, completely and utterly.
Nicholas Kerensky outright ordered the Clans to lie so thoroughly and utterly that the Clans firmly and inescapably believe the lies as the truth, to the point where if you told them the REAL truth, they'll probably kill you on the spot for lying- just saying the name of Clan Wolverine is viewed as a crime. He knew the truth, but ordered the falsities to be recorded so that all Clans would believe in his goals. Once those few who died, there would be no proof.
And even if they did, by Clan mindset they'd probably consider those who ran traitorous cowards who conceded the Trial the moment they went running away.