If the crime is stealing a wallet, then maybe. But the crime is stealing a woman's clothes for sexual gratification so yeah, there's your link between the crime and his gender identity woo woo.
Also, he appears to have just been arrested and is now in jail without possibility of bail. Led out of his house in handcuffs, apparently. That they'd deny bail is unusual and makes me wonder what is going down. Though it could just be because of embarrassment he has caused to the Biden administration as he was one of Biden's hand-picked.