Wouldn't this depend a lot on how management responds to your use? For example, if you just kept a log of prompts and outputs with notes about why the output wasn't acceptable, that could be considered productive use in this early stage of LLMs, especially if management's goal was to have you learning how to use LLMs. Learning how not to use something is just as important in the process of adapting any new tool.

If management is convinced of the benefits of LLMs and the workers are all just refusing to use them, the main problem seems to be a dysfunctional working environment. It's ultimately management's responsibility to work that out, but if the management isn't completely incompetent, people tasked with using them could do a lot to help the situation by testing and providing constructive feedback rather than making a stand by refusing to try and providing grand narratives about damaging the artistic integrity of something that has been commoditized from inception like video game art. I'm not saying that video game art can't be art, but it has existed in a commercial crunch culture since the 1970s.

What sort of tasks have you seen them struggle with? Not to dispute, just collecting datapoints for my own sake.