The significance is that Hezekiah realized that this was for the Lord. He realized who he is and how limited he is. Hezekiah realized that it was not about him but the Lord. He gave over to the Lord and said tell me what you want me to do and I will do just that. This is your battle and I am your servant. Because I know who you are and that you are limitless in all things, my faith is in you.
The underlying principle is trust and obey. "What a friend we have in Jesus, all our sins and griefs to bear, what a privilege it is to carry everything to God in prayer; Oh what peace we often forfeit, Oh what needless pain we bear, All because WE DO NOT CARRY EVERYTHING TO GOD IN PRAYER,"
The study referenced several scriptures, but one that really stayed with me was Zechariah 4:6. "Not by might nor by power, but by my Spirit." This is such a strong scripture that gives insight on we are to conduct ourselves. We are to be determined in the Holy Spirit. This means it is not about us. The Holy Spirit is our Helper. We need to seek his help. We need Him.
We can apply this principle by seeking God first in all things we do. "In all your ways acknowledge Him, and He shall direct your path," Proverbs 3:6. Before we make a move we should always ask God to show us the way. That is not all, we must also wait for him to answer.
When we do not apply this principle, we have a mess on our hands. Our spirits become out of sync, the joy in our lives is stifled. We have to be straightened out before the task at hand can begin to take place.