Any irritation or “assault” to the skin may cause hair to grow to protect the skin. We see increased hair growth after a person has been wearing a cast for 6 weeks or more, as an example.
Depilatory use certainly qualifies for the possibility of increased hair growth. It is a harsh chemical that dissolves protein and it can have skin side efforts, too, such as hyperpigmentation and the burning of the top layer of skin.
It may be a coincidence that you have noticed increased hair growth that is not related to depilatory use? Who knows for sure, but the possiblity does exists.