Just try it. Shoot a roll in the back yard and see if the red shift is as pronounced as you get with the C41. I suspect it will be less pronounced because there is no orange mask. But there should be some shift.
Obviously the amount of red absorbed varies with depth if you depend on surface light, so no filter or the filter effect of the film will give you a "proper" color balance. You would need lighting at depth to get that.
But it ought to help despite the fact that it won't be exact true color. The heavy blue cast you get now isn't true color. So better is better.