Um, yes it does? The reason those labs keep smallpox around is to study it as a bioweapon.

Here's an article from 2007 about the CDC shutting down a "bioweapons lab" at Texas A&M University: https://www.wired.com/2007/07/the-centers-for/

Texas A&M wasn't creating bioweapons, they were studying them as part of a bioweapons defense program.

>that doesn't make them bioweapon labs.

Actually it does. Any lab that works on viruses of mass destruction are bioweapon labs with a trivial amount of objective shift.