The analogy to Avraham Avinu is flawed in several ways.
As has been pointed out, Avraham ran to the orchim, they did not approach Avraham. Moreover, Avraham did not come to hashem to ask for his daily needs. Hashem came to visit Avraham. Do you feel it is appropriate to approach a king or even a local politician and petition him for your needs and then run off to give tzedaka to someone? would Avraham have run over to the Orchim had he approached hashem? You may certainly speculate that he would have, but you just dont know. The analogy is faulty.