They do not mean the same thing....mwah , both things mean the same - just a bit differently phrased
but again [the mt 6 one] ,
thy kingdom come [=not 'come to earth']
thy WILL be done in=on earth , namely: praying that eden will be restored
if you look in prophets under "the will , or desire of God",
9 out of 10 times it is about "the restoration of eden"
What Jesus is referring to is the unrepentant sinner who is bound by sin and the one who hears the message of salvation and is loosed from the curse of sin and death.
Why do you think Jesus spoke this directly to Peter and indirectly to the other apostles?
The book of Acts shows us this process at work. By his sermon on the day of Pentecost (Acts 2:14-40), Peter opened the door of the kingdom for the first time. The expressions “bind” and “loose” were common to Jewish legal phraseology meaning to declare something forbidden or to declare it allowed