The Ash with Energized Munitions was used, and the mission was Elite Sanctuary Onslaught.
Rauta had a riven (Acri-satisus (amogus)) with the following stats: +54.7% Slash; +59.1% Multishot; +46% Critical damage; -16.9% Reload Speed;
After a few magazines, the weapon reload time ramps up to around 30 seconds, and then even more. I was mainly shooting while aiming.
Here's a video depicting the issue.