We have always referred to toxic gender roles for women as misogyny or internalised misogyny, so I would argue that we should use the equivalent term, misandry instead of toxic masculinity.
This. Feminists don’t use the term “toxic femininity” (even though I’ve seen many claim it’s used—I’ve never seen an instance of a feminist using it), they say “internalized sexism/misogyny.” So, the equivalent term for men should be “internalized misandry.”