I've tried playing the wrong way round, and the feel and touch is non existant. They might as well be someone else's arms.
Try driving your car and braking with the other foot from one you normally use.
On a stranger note, my pal plays right hand basses turned round for a left handed player, but leaves the strings as they are, so E is at the bottom.
They wouldn't put screws in for height if they glued the pickup in. Its probably just tight in the routing. Wood may have swollen slightly over the years