Is a high frequency of the Abrahamic prayer a reason for the fulfillment and answeredness of supplications?

Among the reasons for the acceptance of supplication (du'a') is beginning it with praise of Allah and sending blessings upon His Messenger, peace be upon him, as stated in the hadith (definition): "When one of you supplicates, let him begin by praising Allah and extolling Him, then let him send blessings upon the Prophet, peace be upon him, and then let him supplicate for whatever he wishes." The Ibrahimiyyah prayer is one of the best forms of sending blessings upon the Prophet, but there is no evidence that excessive recitation of it specifically is a reason for the acceptance of supplication.