I won't be able to prove this, but I think that when the left wants to curtail some freedoms, it is out of concern for the safety of others. You have to drive according to the rules, you mustn't yell fire in a crowded theatre, you should wear a mask during a pandemic, especially when around the vulnerable. On the other hand, they are comfortable with people loving who they love, and marrying them if they want. They are comfortable with a woman wanting control of her own body and healthcare.
Conservatives, on the other hand, prefer to prescribe things like who you should love and who not, whether you should take precautions against unwanted children, or be able to make the hard decision when you foolishly didn't make it when you needed to.
In my view, liberals are more concerned with freedom of individual expression, conservatives much more with conformity of said expression.