No to be honest I think the points you’ve made are perfectly valid. I would agree that men in this instance have it worse at least from the points you’ve highlighted, (I promise this isn’t gonna turn into a feminist rant it just happens to have certain buzzwords in there) under the patriarchal ideology men who stutter will suffer a lot more here because you’re right a man is typically expected to be making the first moves and men who stutter are more likely to be subject to ridicule or even seen as inadequate because they have this societal perceived flaw within the patriarchy. Women who stutter especially conventionally attractive ones I believe often escape this due to stutter or no stutter as women they are first and foremost valued on their beauty, the beauty standard and expectations of women runs deep with a lot of cultural and societal impacts and influences and as long as you adhere to it it can take you a long way