I would offer walking by faith represents understanding the things not seen .It is used in various parable to show the work of the Gospel like in Acts 14. Many misunderstood and thought its primary focus or goal was to literally walk .Physical healing is not the goal of the gospel.
Feet with walking are also used to represent the gospel. In that way how beautiful are the feet shod with the gospel. Jesus said if he does not wash our feet we have no part with him or no understanding coming from the gospel.
Acts 14:7-12 And there they preached the
gospel.And there sat a certain man at Lystra, impotent in his
feet, being a cripple from his mother's womb, who
never had walked: The same heard Paul speak: who stedfastly beholding him, and perceiving that he had
faith to be healed, Said with a loud voice, Stand upright on thy feet. And
he leaped and walked. And when the people saw what Paul had done, they lifted up their voices, saying in the speech of Lycaonia, The
gods are come down to us in the
likeness of men. And they called Barnabas, Jupiter; and Paul, Mercurius, because he was the chief speaker.
leaping with walking is also used as a metaphor to show the work of the gospel
It is first used as a metaphor in Genesis 3 with the serpent representing the glorious beauty of creation before the fall when .The legs were removed from the creature to show we are not to seek the understanding of Lucifer .
Genisis 3; 14 And the Lord God said unto the serpent, Because thou hast done this, thou art cursed above all cattle, and above every beast of the field;
upon thy belly shalt thou go, and dust shalt thou eat all the days of thy life:
A couple more examples to show how the word walk is used
Matthew 15:31 Insomuch that the multitude wondered, when they saw the dumb to speak, the maimed to be whole, the
lame to walk, and the blind to see: and they glorified the God of Israel.
Luke 7:22 Then Jesus answering said unto them, Go your way, and tell John what things ye have seen and heard; how that the blind see,
the lame walk, the lepers are cleansed, the deaf hear, the dead are raised, to the poor the
gospel is
preached.
2 Corinthians 5:7 (For we walk by faith, not by sight:)
2 Samuel 6:16And as the ark of the Lord came into the city of David, Michal Saul's daughter looked through a window, and saw king David
leaping and dancing before the Lord; and she despised him in her heart.
2 Samuel 22:30 For by thee I have run through a troop: by my God have I
leaped over a wall.