It could work in theory as a form of sabotage, but I believe one would need to have great self-restraint to do it correctly.

It's hard to notice the difference when you are

1. actually hurting AI industry by abusing their free tiers and poisoning training data

2. you rationalize your AI usage by telling yourself "I am not paying so I am in the clear" because you want to larp as freedom fighter without actually sacrificing any comfort

Both subjectively feel very similar.

So I would rather not risk becoming 2nd case and avoid AI altogether, unless you are some hacktivist who actually knows what they are doing.