I'm skeptical if these signs will do anything other than piss troons off. Even people who don't like troons likely won't even notice the sign because they're too focused on shopping/eating. Even if they do notice the sign, the average person would probably just shrug it off and take their chances, since the likelihood of meeting a troon in Tennessee is small, outside of the more popular city areas (like Nashville). The only people I see this having any affect on is places of business that primary serve children, or places of businesses that have a large Muslim or other religious customer base.
If anything, I think this will worsen the troon problem. Despite what twitter would have you believe, a lot of people don't know much about troons, especially in rural areas. If these signs are everywhere, I imagine lots of uninformed perverts will see these signs and look up what it means, then when they find out that it means they can use the women's bathroom and not get in trouble, they'll gleefully do it.
edit to not double post: I just found out that, today, Tennessee signed into law a ban on gender confirming care for minors. This will no doubt have the twitter troons melting down even more.
I was excited to read this, but it's only for minors who haven't gone through puberty. Better than nothing, but I was hoping Tennessee would follow Arkansas and ban it for anyone under the age of 18. Still, at least it's good to know kids in Tennessee won't end up with fucked up bodies like Jazz Jennings.
