For the religious person who thinks that free will is given by a god and can't be explained by any other means, god is important.
For a dualist who thinks that the free will exists outside of the physical brain in a god given soul, god is important.
But it shouldn't be, because it hasn't been demonstrated to be that way.
I mean we don't know whether true free will exists or not. That religious people, which believe in a god or gods think it should be important is obviously linked to them already working off another assumption, which haven't been demonstrated either.
To me, and have said it before in other posts, beliefs should not be sacred. They are simply what we think things are at a given point in time, without having a clue whether they are true or not.
Therefore one should be willing to change these beliefs at the blink of an eye, if something else seems more rational. And in some cases the most rational explanation is simply that "we don't know".
Anything is possible or important if one's starting point is flawed.
"I believe that these powerful aliens created the Universe and especially designed humans as a reflection of them in this material world. Given that this is what I believe, it is important for me to know whether these aliens would like humans to have free will or if we are merely puppets."
It hasn't been demonstrated that such powerful aliens exists, it hasn't been demonstrate that they created the Universe or humans. So for me to use it as a baseline believe for trying finding answers to another question, I don't know about, simply doesn't make a lot of sense. That I as an individual decide to make that baseline believe important, might simply be because I did not ask the right questions about the aliens to begin with, and therefore my assumption is simply that they exists. But it does nothing for answering the question of whether we have free will or not.
Because you would be able to come up with a very long explanation and probably one that is logical as well of how free will would work in such scenario. But in the end, another person would always end up asking for you to demonstrate that these aliens even exists to begin with. Because an explanation of how free will works in this setup, solely depends on whether or not they even exists, if they don't, it's wrong.