I’ve always pulled them with enough weight to match speed and depth I’m looking for. Also depends on water clarity sometimes. If you want to get the line out from the boat run a little less weight and send out more line.
Without weight I think they are hard to control and there will be an optimal speed – at least there usually is. Just carry some egg sinkers in varying sizes and play with it.
Over the tops of the weeds can be a great presentation. One of the better walleye days I ever had was on Winnie over the weeds. It was 80 degrees with bluebird skies and we still throttled them.