Yes, I would install inverted from your pic. (Although I think your pic is upside down from what the factory intends) Basiclly, you want wide valleys to carry the water away before it gets deep enough to go over the seam. I don't know about welding the seams. I think you will have warp and rust issues. The only issues you can have with that will be "dams". Either dams created by leaves or ice. From what I see in the pics, piles of leaves don't seem to be an issue. Ice dams in the spring could be an issue if your area is prone to that.
The experts say the best way to avoid ice dams is to have a cold roof. Meaning you need really good insulation. If you have a warm section in the middle, it melts first and the water runs down till it hits the ice dam. (At your eve) Then it backs up to a joint or gets deep enough to go over the seam. If the roof is all cold, it melts at the same time and runs off. So you might want to invest in more insulation.
When i I lived in Canada, I hovered a helicopter over the roof of our shop every now and then. It would blow the snow off in seconds. Then I would hover it in the parking lot for a few minutes. It really worked good. So that's an option.