Changing norms in a state that make it socially unacceptable to let your kids be gay, resulting in you not be able to be an out and proud ally parent or gay kid, later adult.

Indirect social norms affect conservatives as well. I don't think it's clear which court result will result in more or less net freedom from second order effects, but it's clear what the first order effect would be (more freedom). Since first order effects are typically dominant and more reliable, a conservative result here would likely be pro freedom.

it's pro-freedom until it's your gay nephew that tries to kill himself because his family bullied him into seeing an unlicensed "therapist". Queer kids who go to these centers are twice as likely as other queer kids to attempt suicide (https://williamsinstitute.law.ucla.edu/press/lgb-suicide-ct-...). This isn't just another prong of the whole conservative "actually it's a violation of my rights any time someone tells me I can't violate your rights" thing, it's gonna result in dead kids.

Being gay when my parents don't like it, for one. They dress it up in bullshit about it being voluntary but it's for minors and minors never volunteer for this, they're just being coerced by their family rather than by the therapist.