From the research I did for the article there was a lot of discussion in how with the Tradwives being subservient to the husbands they take orders from him on everything. So in this instance women in this movement are giving up their right to make their own choices.
Moreover, I read somewhere that the tradwives will not vote unless their husbands request it of them and these women are only called upon to do so if their chosen political party needs more numbers. So even if they do vote they are not getting the right to choose who they vote for which in my book is removing their right to vote at all.