Apparently, with the standard Valve Biped version of this model, when you strafe to right with a pistol out then only forward running animation will play. If you strafe to the left, the normal leftward strafe animation plays. All other weapons and items work as normal, even weaponless. It's straight up just the right strafe animation when you have a pistol out that is not playing the right animation for some reason.

If this is a conflict then I'm not entirely sure what could be the cause. I'll likely to really test that outside of what little I did to ensure it was nothing tied to the MMOD fps animations mod I'm using because at first it seemed like the issue was only in first person. I also grabbed the Draconic Base to test to see if me missing that was the issue and found that this wasn't the case. I'll add more when I test this with just the model alone enabled/installed.