This mod will get the positions of the henchmen character in lobby.
That will make everyone holding his/her primary if they don't have a skin. And no, there is no ways to disable that. The positions would fuck up.
You can change if you want primaries or secondaries to show up by modifying the code line 20.

Preview:

Installation

• Extract the "Henchmen positions in lobby" folder (the folder, not its content) to PAYDAY 2/mods.