@quasi @lxo @mjg59 Hi, actual trans person here. When you support a transphobe making transphobic arguments, whether you mean to or not, that causes real and actual harm. As with any case where you cause harm, especially if that harm is unintended, the polite and helpful thing to do is to first address that harm, then apologize.
Worrying over vague hypotheticals about false accusations really shouldn't be a priority. Real harm was done here, and it's good to address that.