When I make stock at home from vegetable trimmings, I put mushrooms and kombu in. In Japanese cooking those two things make a dashi, which is a base stock for a lot of dishes, but even adding them to regular stocks (or if I’m cooking rice or quinoa or something) by tying a sheet of seaweed around some mushrooms and then pulling it out when the cooking is done, it imparts a lot of glutamate but not an overly seaweed-y flavor. I don’t eat the seaweed or the mushrooms usually (dried shiitakes have a texture I don’t like), I use them only to infuse things.
The range of tastes in mushrooms varies a lot more than most people realise - it drives me crazy how many English words are used for the same mushroom (portobello, white, brown, chestnut, crimini, champignon all refer to agaricus bisporus), and how few mushroom varieties most people have tasted.
Especially as A.bisporus is one of the most boring mushrooms in existence.