That is not my impression at all. See all the attempts to formalize consent in a way that does not really square with human sexuality. Consent apps? Wtf.
Not to mention all the attempts to criminalize buying of sex, which is basically an ultraconservative position multiplied by -1.
What country/party has this position?
As a naive European, that sounds like you might be talking about the left in the USA that is still far to the right of the European idea of "left".
(Posting from Switzerland, where not only is sex work legal, it's regulated and taxed)