My vote is, God's will be done regardless of what a person says. The distinction is, as Jesus says:
hat is the source of the wars and fights among you? Do they not originate from your fleshly desires that carry on a conflict within you?
*+ 2 You desire, and yet you do not have. You go on murdering and coveting, and yet you are not able to obtain. You go on fighting and waging war.
+ You do not have because of your not asking.
3 When you do ask, you do not receive because you are asking for a wrong purpose, so that you may spend it on your fleshly desires.
"Thy will be done on earth
as it is heaven."
God's will is to bestow. And that will be done. A prayer is asking that God's will is bestowed directly, as it is in heaven. This is different, opposite of, the many twists and turns and complications the execute God's will in many phenomena on earth. Jesus teaches not to worry, that God will provide, just as the birds receive. But, how hard does a person have to work and suffer for that food?
My opinion is that prayer, when it is 100% true, connects directly to God. This encourages the direct influence of God's will on earth, and simultaneously encourages direct understanding in the petitioner of God's will. It is at least a double blessing, but could be compounded many times depending on what the petitioner does with this understanding.
What Jesus is offering, imo, is a method for establishing a 100% true connection to God, yes, through humility, also through the request of the bare essentials. Together this cultivates an emotional and intellectual response, dependence on God, which is 100% true.