No you're reading that backwards. Wetsuits compress and therefore reduce your displacement (bouyancy), making you heavier in the water. This means more air (not more weight) is needed at depth to offset the net weight gain.
Exactly.
That is one of the biggest problems with a thick wet suit. You are guaranteed to be overweight at depth, unless you can devise a magical system of taking some weights off when you are at depth and then putting them back on before you ascend. A dry suit is more uniform because as it compresses you add gas to compensate for changes in pressure.
Your goal is to have enough weight to get down at first, but more importantly to have enough weight at the end of the dive (when your tank is getting closer to empty) to maintain a safety stop followed by a controlled, slow final ascent.
Many divers new to thick wet suits are surprised by how much change there is in buoyancy in those last 30 feet or so. They are doing just fine in their ascent and then suddenly they feel themselves rocketing to the surface. That is because when that suit was compressed and they were overweighted, they had to add a significant amount of air to the BCD to remain neutral. As they ascend, both the wet suit and the extra BCD air expand rapidly, pulling them to the surface.