Experiences with a one-sided cantilevered collar beam roof?

Hello, I have an asymmetrical collar beam roof structure from the 70s, see sketch. The proportions are somewhat exaggerated. However, the roof surface on the right is significantly larger than on the left. I don't like the static system because of the asymmetrical load. As I see it, the roof surface on the right currently transfers considerable horizontal forces into wall W. Mainly through the collar beams. The roof surface on the left will hardly introduce opposite shear forces into the collar beams since it rests almost at the height of the collar beams on wall W. That means the roof surface on the left would rather load the collar beams in tension. In fact, the wall W carries the base purlin. I therefore wonder if it might make sense, in the context of the attic conversion, to retrofit a central purlin on the right with a post (marked in red, not previously present). Then I could transfer the shear forces of the collar beams vertically via the new central purlin; supports are available. That wouldn't be a problem and would be easy to install. (Alternatively, a post in the center would also be conceivable, there is a load-bearing wall there, but that would be more disturbing.) Thanks for your ideas, Peter