With 3 cups of water and a pound and a half of meat, I don't see two tablespoons of soy sauce as being overwhelming in any way. Of course, it all depends on
what soy sauce you use. I have a dark, mushroom flavored soy sauce that would be overpowering in as little as one teaspoon of it in that recipe. Two tablespoons of light soy sauce shouldn't hardly even be noticed. There are soy sauces that range from very, very light, (Touchou), all the way to something akin to black mud. Some of the dark soys are outrageous! I've used one that was so thick, it was like paste, and a quarter teaspoon of it would flavor a gallon of broth.
Tóuchōu; The light soy sauce made from the first pressing of the soybeans, which can be loosely translated as first soy sauce or referred to as premium light soy sauce.
Touchōu is sold at a premium because, like extra virgin olive oil, the flavor of the first pressing is considered superior. Due to its delicate flavour it is used primarily for dipping.