The value of Omegon hard claim depends on whether their checks have been adequately breadcrumbed or not
The value of not hard claiming is that it baits mafia to try target Omegon, leaving a chance for a 2nd save this game
Granted, risk may not be worth it given our good position. Say Omegon has 2 checks of info:
3 confirmed, 4 unknown: 25% win
2 confirmed, 3 unknown: 33% win
1 confirmed, 2 unknown: 50% win
Whereas the hard claim is to guarantee that third check. With only 2 breadcrumbed checks of info:
2 confirmed, 5 unknown: 20% win
1 confirmed, 4 unknown: 25% win
0 confirmed, 3 unknown: 33% win
So the extra check is quite useful, even if 1 of the 3 checks are gone already