>>85997483If I recall he doesn't really spy on people with the butterflies so much as he can sense emotions and then zero in on the target. Admittedly, the specifics are unclear. In fact, it's not clear how long the "cool down" period for his powers is. Also, there is the possibility that Ladybug's Miraculous can protect her from Hawkmoth's powers.
Although, it would be funny if one of his house's ten billion security cameras caught Chat Noir sneaking into Adrien's room. Especially if he draws the wrong conclusions at first ("My son is... gay?! And having an affair with Chat Noir? Mon Dieu!").