You did not mention what you base these claims on, or even what size board they apply to. But they seem very far from realistic. A Commoner is very similar in value to a Knight, as might be expected, as they are both short-range pieces with 8 moves. As to global properties, the Knight has more 'speed', but the Commoner has mating potential. Mating potential in general isn't worth very much, as most games are decided in the presence of Pawns. Perhaps the strongest advantage of the Commoner is that it is a 'strong defender', able to salvage a draw against a super-piece like Queen, which even a Rook cannot.
Even tests with engines that take all that into account, the end-game value of the Commoner tests hardly better than that of a Knight, perhaps 0.2 Pawn (e.g. by playing one side with 1 or 2 Knights and the other with 1 or 2 Commoners, in the presence of 3-5 Pawns each). For opening value, the Commoner tests slightly weaker than Knight (e.g. replacing one side's Knights by Commoners in the FIDE setup).