After doing more reading on bridges and what to look out for when fitting them, I understood that I have to go another round with the bridge. The flat side (towards the tailpiece) is not fully flat, possibly a slight warp or just a cheap and unsquare bridge from the start. I've still got enough material on the bridge to make some corrections, so that's what I'll do.
First I'll fully plane the south side of the bridge. Then I'll reshape the rounded (north) side, so that it still has uniform thickness at the top with a smooth taper. That's currently not the case, because I cut off part of the top to lower the Action.
Then I'll also go another round on fitting the bridge perfectly perpendicular to the top on the south side, as well as make Sure the feet Touch the top uniformly. I will use a carving knife and some crayon to do the fitting this time. One of my Problems are rounded edges from relying on sanding to do the fit in the first try, which I want to avoid this time.
I might also add some more nicely carved edges, which I saw on other high end bridges. If I mess this one up, no harm done. But it seems like it will do fine for me if I work carefully.
By the way, I played the bass for a while this morning after another test assembly. Oh my, it plays like a dream compared to when I bought it. I havent the slightest idea how someone could have enjoyed playing that in its original state. Then again, maybe that's why the previous owned sold it to me