Praying for God's intervention in this world usually stems from some feeling or thought attached to the world's necessity. Feelings or thoughts that originate from or circle around the world's necessity do not emanate from a state of spiritual freedom, from the innermost and inexplicable depths of that state, but from somewhere far more shallow – from reaction to the external, the moderate, the everyday.
Why is this important? Well, because only he who is spiritually free -- at least intermittently -- is capable of spiritual creativity. Without spiritual freedom there can be no spiritual creativity.
God may respond to prayers for intervention, but it is important to remember that any subsequent divine response or intervention comes from "up high", as it were, rather than from "down low".
Why does this matter? Simple -- the revelation of spiritual creativity and the potential for co-creation are not revealed from above but from below. To paraphrase Berdyaev, creativity is an anthropological revelation, not a theological revelation.
God may very well "perceptively" respond to prayer, and He may "perceptively" answer a call for help by intervening in some worldly matter or other, but such responses and interventions are not co-creation.
Creativity and co-creation are man’s answer to God’s call, not God’s answer to man’s call. Put another way, spiritual creativity is man’s response to God’s prayer, but God’s prayer has nothing to do with the world’s necessity. Spiritual creativity and co-creation begin where the world’s necessity ends.
Prayers for divine intervention and co-creation are both divine-human matters, but they are very different divine-human matters.