The reason He did that was not for “healthcare” but it was actually a fulfillment of prophecy in Isaiah. It was prophecized that a Messiah would heal the sick of their ailments to prove His divinity. Also remember, Jesus stated, “ Jesus answered, My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence.”
He wasn’t doing this for a cultural statement. He did this in accordance to the Will of His Father in Heaven for this purpose:
1 John 2:2King James Version (KJV)
2 And he is the propitiation for our sins: and not for ours only, but also for the sins of the whole world.
That’s what He came to do. What this lady here is speaking on… Not what He came here to do.