Answer: Of course it did... but only partially. They killed their own weapon, but were actually sort of mobile at the end of the fight, while Emulsifier had their weapon active but severely hampered mobility. It went to the judges, and they gave the fight to Emulsifier.
This is one of the few instances where I don't love the engagement rule. Like, it feels like Shredderator gets punished for being more operational and not running into the face of a bot that can only pivot. It just gives an advantage to a bot like Emulsifier, when I feel like they should be more penalized for being functionally immobile.