Truly, the Lord's pray in Mathew 6 teaches us our how to align our words and hearts, even as we pray or communicate to our Heavenly Papa.

Like you've nicely noted in this post that Jesus Christ only gave his disciples practical model for effectively praying to God, and not some sort of praying "formula" that must be religiously followed or uttered in verbatim.

He told them this in verse 8:

"Do not be like them, for your Father knows what you need before you ask him."

He only wanted to let them know that there no need for repetitions in their prayers, because He's the omniscient that knows all things, including the very thought in their heart of heart, which they probably haven't thought of. And he went ahead in the ensuing verses to outline the tips, which you've thoroughly explained:

1. When we pray, we should firstly recognise the supremacy of God and his kingdom over the heavens and the earth. (This we should be appreciative of, as we thank Him for our lives).

2. We need to attune our hearts to God, while we humbly focus on personality -- and removing every barricade, which usually is our shortcomings. Because that's the only thing that disrupt our connectivity in the spirit; which is what effective prayers offer us.

3. We need to be open and definite in our request while we commune with Him.

Thanks, @xiore for sharing this powerful post... It connected with my heart.