If prayer intention is on record and can be repurposed, why does that not happen through the divine realm routinely, especially as many prayers are for projects or enterprises of some kind, like recovering from serious illness or keeping a marriage together, which take time? Granted, people know they must pray repeatedly, and often, for large needs, but does the intention of prior prayer requests really remain unused unless there is a specific request to repurpose it again and again?

Unfortunately, your latter conclusion is the case. Despite what might be seen as the best intentions, to launch a prayer for a long-term goal of some kind, done quite fervently with a heartfelt compassion, it will be launched as a singularity. The act of launching sends it forth, it will remain on record for reference purposes, and the divine realm will always hear it, but it is that first hearing and the level of intention behind it, that is used to implement what actions are taken on behalf of the requester, and only what is encapsulated in the energy of intention of that launching can be used as the fuel. So a prayer for a large thing may have a greater intention than a prayer for a small thing, but only the single outing, through active prayer, will be launched and must carry the day or fall short. Once that is used up, in effect, in matching the energy of that launching, the original prayer intention will remain on deposit but not utilized. This is because humans are ignorant of the workings of the divine, and much about the energetics involved in all sorts of phenomena that are integral to understanding life and its learning and growth opportunities. This is why humanity is in its backward state and under the thumb of interlopers subjugating you. You are, in effect, intuitively challenged, through a handicap to render you disconnected, and you are mind controlled to engender complacency in the bargain. This keeps you humble and useful as slaves but does not serve your interests.