Been a while since I studied any of this but as I recall the capacitive correction for AC lines increases line current. I also think that given equal size wires AC will see greater impedance due to skin effect. Finally I believe the DC transmission is done at higher voltages than AC which decreases the line current and thus the heat losses.
My original statement comes from something I read in college and I think that engineers used to sizing cable for AC oversized the cable in DC experiments and thus had icing problems.
“Finally I believe the DC transmission is done at higher voltages”
Where you could use higher voltages if you chose to, it’s very difficult and expensive and inefficient to convert high DC voltages back to AC. With AC it’s easy...