Since it is not commanded, nor claimed to be, your distinction is irrelevant.
Believers aspire to honor God as Christ did, as Mary did, as David did, as all those did in the Hall of Faith.
That is different than claiming babies are included in believers baptism.
Ah, that is the assumption. You believe baptism is only for believers and not believers and their families.
In the passage I presented earlier on the jailer, “... And he rejoiced along with his entire household that he had believed in God.” (Acts 16:34) There is no information that the rest of the household believed, only that they were baptized.
Otherwise, your are making an assumption that cannot be proven.