Does listening to supplications, such as the supplication of Al-Sudais and the supplication for forgiveness after the Witr prayer and the night vigil (Qiyam), bring God's pleasure and blessing, lead to success and provision, erase sins and transgressions, remove distress and illnesses, and provide protection from evil, and will supplications be answered thereby?

Merely hearing a supplication without saying "Amen" does not make the listener a supplicant. However, one who says "Amen" to another's supplication is considered a supplicant, as stated in Ibn Kathir's interpretation of the verse: (قَدْ أُجِيبَتْ دَعْوَتُكُمَا) [Your supplication has been answered], where Harun said "Amen" to Musa's supplication, and thus was accorded the status of one who supplicated. Therefore, if you say "Amen" to the Sheikh's supplication, it is hoped that Allah will answer your supplication. If you do not say "Amen," it is not considered a supplication, but you are hoped to receive reward for your obedience to Allah. As for saying "Amen" to a recorded supplication, it is not legislated, because saying "Amen" is a prescribed act of worship only for the supplication of a present supplicant, not for what is recorded.