Regarding the second difference, it is plausible to understand this as two distinct moments in time and location. Initially, as Jesus entered the city, the blind men cried out to Him, pleading for healing, but the Lord did not respond immediately, perhaps to test their faith. Later, as He left the city, they cried out again, at which point He called them to Himself and restored their sight.
The evangelists enrich the narrative of the healing with additional details. When the blind men heard the crowd passing by, they inquired about what was happening (Luke). Upon learning that it was Jesus of Nazareth, they began to shout, “Have mercy on us, O Lord, Son of David!” The crowd tried to silence them, likely because Jesus was teaching those around Him, and everyone desired to hear Him closely. However, the blind men persisted, continuing to call out for His mercy.
Eventually, the Lord summoned them. Those nearby encouraged them by saying, “Do not be afraid, get up, He is calling you.” Hearing that Jesus was calling them instilled confidence in the blind men that they would be healed. Eager to reach their Healer, they discarded their outer garments for ease of movement (Mark). Once the Lord understood their request, He touched their eyes (Matthew) and said, “Go, your faith has saved you” (Mark, Luke). Immediately, their sight was restored, and they followed Jesus, praising God.