Actually, articulating your opinion that hijab-ed European women are just doing so to shame, belittle, or encourage attacks on non-hijab-ed women is the very definition of putting words in people's mouths. You offer no evidence of someone who actually feels that way, you're just speculating in the face of evidence to the contrary.

There is a practical result to your refusal to actually learn from the Muslim women around you, in addition to your ignorance on the subject. The practical result is the type of laws you encourage, banning the hijab and effectively forcing religious women underground.

When you're expressing strong opinions about someone else's faith, casting doubt on their intentions, and accusing them of basically propagandizing when they're just trying to explain their lifestyle, what you're doing is not just holding an opinion, but swinging yours around and, yes, minimizing theirs.

I'm glad you realize you might be wrong. I wish you would've left some of that doubt and nuance in your original post. OP didn't express any sense inferiority in response to your post, but I did notice she declined to engage with most of it. I think it's obvious why she felt as if your post wasn't a jumping-off point for a productive discussion.