When was the last time you prayed about/for something?
that's a complicated question because i have to factor in my background in the christian church and my gradually loosening grip on belief in the efficacy of prayer. i am still involved (loosely now) in a local church that i've worked with for years, largely because of the friendships and community forged through it. because if this i am constantly hearing about praying for this and petitioning god for that, and ironically this constant exposure is one of the things that's most effectively exposed the fallacy in the type of prayer that effectively begs god to change one's circumstances for the better, and more specifically, the fallacies of response illustrated in the flowcharts on the OP.
as a direct answer to your question, my prayers, when i pray them, are precautionary in the sense that most of them are, quite literally, "hey god, if i'm getting all this wrong and evolution actually isn't true and all this ridiculous stuff that christians say you have to believe and do is actually right, then allow my search for answers in the universe to lead back to it."
i pray these prayers less and less as i've discovered fresh waters like bishop spong whose works assure me that i am not alone in these questions and recognition of these gaping holes in christian worldviews (it's just that most of those people reject christianity outright and turn to atheism or agnosticism because the christian creed and theological dogmatic positions are framed so as to exclude them; it is a much harder position to attempt to salvage christianity from a premodern world rather than to abandon it entirely.)
in this light i have found it increasingly difficult to pray, even if i wanted to, for things happening in my life; for every person on facebook asking people to pray that they'll do well on their math test, i read a news story of praying children in asia dying of hunger, or praying children in oklahoma getting sucked up into a tornado, and realizing that to insist upon the efficacy of prayer in an individual's menial situation is to confess that god, at some point, being omniscient and omnipresent, decided your goddamn math test was more important than the wailing prayers of dozens of innocent second-graders.
i'm no longer willing to answer those questions with robotic dogma.