well, since the outcomes of either type of prayer are mutually exclusive, there seems to be a logical contradiction in their Bible.
I don’t expect either type of prayer to be answered. Near as I can determine, there is no god to answer them.
Your initial comment was.....
"It is interesting that Christians pray for god’s will to be done in one prayer, and in another prayer ask him to bend to their will and change the course of events in their favor."
Perhaps not all prayers are in accord with the instruction manual?
It basically says that all prayers must be offered "according to God's will".....not according to ours, so sometimes we can ask for an outcome that is in accord with both. That is not bending God's will, but asking for it to be applied in our case.
OTOH, some people treat God as some kind of Celestial Waiter, so when they snap their fingers, he should eagerly jump to their service. But when he fails to meet their expectations, they ditch him. (Not going back to that restaurant, the service was terrible!)
Our perception of God can come from several sources, and our expectations of who and what he is, can be a confused mix of "churching" and "parenting". For some he remains an enigma. You cannot love a mystery.
Getting an accurate handle on God can be a confounding exercise, so in my case, I ditched all I learned in church and from my parents and allowed the Bible itself to tell me who God is.
He is nothing even remotely close to what Christendom says he is. I discovered a whole other God that is not confusing or confounding at all. He is actually my best friend. More people should meet him.