Perhaps. It's still a total mis-characterization of what conservatives believes to claim they have these deeply regressive views on gender roles. It's hard to see how they actually maintain that belief given the actual evidence of how conservative women behave,, even in the US.
But maybe that's the real issue?.
The number of people who believe all elements of "gender roles" are only culturally constructed is pretty minuscule, including on the left. The vast majority of people think that's a load of bollocks, and that reproductive roles really do inform to some extent how social roles play out, both directly and indirectly. (That's not to say they don't think there can be oppressive, or arbitrary gender roles.)
This is I suspect why that kind of constructionist feminism also struggles to reach a lot of women around questions like motherhood. Most think that is more than just carrying and pushing out a baby, and not just a socially constructed role.
So you are already talking about a tiny section of people who could count themselves as GC. I've wondered if this is why the Real Feminists are so aggressive in their alignments, what they don't want is the majority of regular women on the left to realize their views on gender might be closer to those of many mainstream conservative women. They want the votes and political power of those women.
So they try and paint the conservatives as scary people who believe women should all be barefoot and pregnant, rather than, say, the secretary of state, or an army general.