Sorry… But yes, a distinction is made. A very big one at that. Why didn’t the Holy Spirit use the same word for rock? He didn’t he used Petros for Peter and Petra for Jesus (or the confession of Jesus as the Son of God).
Key versus on the connection between the Keys and Authority
1.ISAIAH 22: 20-22
“On that day I will summon my servant Eliakim, son of Hilkiah;
I will clothe him with your robe, and gird him with your sash, and give over to him your authority. He shall be a father to the inhabitants of Jerusalem, and to the house of Judah.
I will place the key of the House of David on his shoulder; when he opens, no one shall shut, when he shuts, no one shall open.”
note: this verse also supports apostolic succession since the
authority was transferred
2.MATTHEW 16:17-19
“Jesus said to him in reply, “Blessed are you, Simon son of Jonah. For flesh and blood has not revealed this to you, but my heavenly Father.
And so I say to you, you are Peter, and upon this rock I will build my church, and the gates of the netherworld shall not prevail against it.
I will give you the keys to the kingdom of heaven. Whatever you bind on earth shall be bound in heaven; and whatever you loose on earth shall be loosed in heaven.”
3.REVELATIONS 3:7
"To the angel of the church in Philadelphia, write this: " 'The holy one, the true, who holds the key of David, who opens and no one shall close, who closes and no one shall open, says this…”
MORE ON AUTHORITY
4.MATTHEW 18:15-18
"If your brother sins (against you), go and tell him his fault between you and him alone. If he listens to you, you have won over your brother.
If he does not listen, take one or two others along with you, so that ‘every fact may be established on the testimony of two or three witnesses.’
If he refuses to listen to them, tell the church. If he refuses to listen even to the church, then treat him as you would a Gentile or a tax collector.
Amen, I say to you, whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven.”
SOLA SCRIPTURA IS FALSE
5.2 PETER 3:16-17 – Without the Church to interpret Scripture properly we may distort it to “our own destruction” because certain parts are difficult to understand:
“speaking of these things as he does in all his letters. In them there are some things hard to understand that the ignorant and unstable distort to their own destruction, just as they do the other scriptures.
Therefore, beloved, since you are forewarned, be on your guard not to be led into the error of the unprincipled and to fall from your own stability. “
6.1 TIMOTHY 3:15 – THE CHURCH IS THE FOUNDATION OF TRUTH
“But if I should be delayed, you should know how to behave in the household of God, which is the church of the living God, the pillar and foundation of truth.”
7.JOHN 14:16 – JESUS PROMISED HIS APOSTLES THAT HE WOUL BE WITH THEM
“The Advocate, the holy Spirit that the Father will send in my name–he will teach you everything and remind you of all that i told you.”
8.LUKE 10:16 – JESUS TELL US TO LISTEN TO HIS APPOINTED TEACHERS
“Whoever listens to you listens to me. Whoever rejects you rejects me. And whoever rejects me rejects the one who sent me.”
9.JOHN 21:15-17 – JESUS, THE GOOD SHEPARD, COMMANDS PETER TO “FEED HIS LAMBS”, INDICATING THAT NOW, WHILE JESUS IS AWAY, PETER, AND HIS SUCCESSORS WILL BE THE SHEPARDS OF CHRISTS FLOCK.
“When they had finished breakfast, Jesus said to Simon Peter, “Simon, son of John, do you love me more than these?” He said to him, “Yes, Lord, you know that I love you.” He said to him, “Feed my lambs.”
He then said to him a second time, “Simon, son of John, do you love me?” He said to him, “Yes, Lord, you know that I love you.” He said to him, “Tend my sheep.”
He said to him the third time, “Simon, son of John, do you love me?” Peter was distressed that he had said to him a third time, “Do you love me?” and he said to him, “Lord, you know everything; you know that I love you.” said to him, "Feed my sheep.”