Great point they can just interpolate existing keys, but yes i believe the security is weakened - maybe ok in certain contexts. By omitting the commitment round, you allow for a misbehaving participant to bias the distribution of key generation outcomes by selectively complaining/failing (mentioned in FROST paper sec 2.3).
conduition (npub1l6u…zvtg) thanks again for these great posts , wizard_honey_badger (npub160t…yjc9) you might be interested in checking them out:
https://conduition.io/cryptography/shamir/