This is another attempt at defending the main point of this post, that the randomness objection is also problematic for compatibilists.
Compatibilism is of merely academic interest unless the freedom or responsibility whose compatibility with determinism is being defended is close enough to the kind of freedom we have. For instance, a freedom or responsibility whose compatibility with determinism is assured by supposing time travel or backwards causation is not close enough to ours to be of great interest, except academically.
Now consider this thesis:
- Many of the actions that we are responsible for are significantly causally affected by factors that have little to do with the ingredients in a compatibilist decision theory.
But a decision to a significant extent determined by such causal factors is no less "a matter of chance" than a libertarian-free indeterministic choice is. This suggests that compatibilists cannot afford to wield the randomness objection against libertarians, unless they want to say that freedom is much more rare than we normally think.
What can compatibilists say? Well, they can go agent-causal and say that, nonetheless, the action is caused by the agent, and that makes it free. Or they can say that the desires of the agent play a significant part in the decision, and that that is enough to make the action be an action of the agent, rather than a mere matter of chance. But the libertarian can make either move.