It's funny that you mention that because police organizations oppose the ban.

As you mention, it's doctors, black doctors, and other black advocacy groups who support the ban. Those who oppose the ban are police, black police, black capitalists, and convenience store owners.

https://en.wikipedia.org/wiki/Menthol_cigarette#Opposition_to_proposed_ban

Secondly, the ownership of menthol cigarettes is not being banned. Tobacco companies are being banned from selling menthol cigarettes. People will still be allowed to own and create their own menthol cigarettes.