“And he could there do no mighty work, save that he laid his hands on a few sick folk, and healed them. And he marveled because of their unbelief. And he went round about the villages, teaching.” Mark 6:5-6
“Daughter, your faith has healed you. Go in peace and be freed from your suffering?”
Yup. Same Jesus.
The difference is not found in Jesus.
The difference is found in their recognition of who Jesus is.
Notice that in Nazareth, where Jesus could “do no mighty work,” He marveled at their unbelief. The Nazarenes did not recognize Jesus’ divinity, (“Isn’t this the carpenter?”) and they “took offense at him.”
Their lack of recognition and belief stands in stark contrast to those who were recipients of Jesus’ power.
“For she thought, ‘If I just touch His garments, I will get well.”‘ Mark 5:28
It wasn’t imperfect belief which prevented Jesus from working, but an unwillingness to believe.
Jesus works with imperfect people who recognize Him as the Son of God. He does mighty work when we get to the end of ourselves and acknowledge that we can do nothing apart from Him.
The woman who touched the hem of His garment recognized Jesus and her great need for Him. While her vision was imperfect, her faith was real.