Why Homemade Coconut Milk Yield Is Low in Thai Coconut Chicken Soup

I have made the Thai-Style Coconut and Chicken soup recipe twice now. I got so little liquid out of the 2.5 cups of shredded coconut and 3 cups of warm water the first time I made the recipe, I changed blenders to make this recipe the second time, to see if the first blender had just not done a good job of grinding the coconut. The second blender did not get me any more coconut liquid than the first blender. I did not measure the amount of liquid either time, but I feel like I was only able to strain out about 1/3 cup of coconut milk from the blended shredded coconut. About how much liquid do you expect to get when you blend the shredded coconut with the warm water?

thank you for any information you can provide. Leslie