Okay, I could have continued past this point. I didn't quite reach the paste, but I felt that what I had was good enough.
The consistency of the garlic and ginger helped them to spread throughout my rice evenly. I liked how they visually disappeared when they sauteed with the chunks of onion and the bits of jalapeño. It made for a pleasant rice experience because I didn't have to worry about biting into big chunks of either ingredient.