Paternal patterns
This article endeavors to show that Rambams formulation of the famous כשם wish at a bris milah (and possible limitation of its recital) is consistent with his opinion of there being a unique element to a fathers obligation not shared by anyone else Rambam holds (milah 3:1) that when a father performs the actual milah himself he says "למול" whereas when someone else does it for him the mohel says "על המילה". This coheres with his previously stated opinion (berachos 11:11-13) that employing "ל" vs "על" turns on if one is performing a personal obligation as opposed to assisting another with their own. (Compare with geirim in halacha 'ד where all share in the same mitzvah and thus equally say "למול".) He then says that the beracha of "להכניסו" is only said by the father, not when beis din or anyone else administers the bris, providing the rationale שֶׁמִּצְוָה עַל הָאָב לָמוּל אֶת בְּנוֹ יָתֵר עַל הַמִּצְוָה שֶׁמְּצֻוִּין כָ