Just looking at pictures of the connector, it didn’t seem hot-swappable. Looked like holes for screws in the center of each group of pins.
Then look at Framework’s github, and it seems like there’s no way it’s hot-swappable. They even show an example of it screwing together with two m2 torx.
~edit~
The connector is labeled as FXBeam from neoconix unimicron. Checking their site, they show it as screw-down too. Don’t see any other option mentioned.