No it doesn't. Unlike desktop parts the mobile chips are single die, it's the separate IO die which seems to be the primary reason for the high idle draw. Current gen AMD mobile chips are pretty much even with Intel at idle and significantly more efficient under any load metric.
Yes, and even moreso for the laptop/mobile CPUs because those generally tend to have more E-cores than P-cores compared to the desktop CPUs, which further reduces power use in exchange for less absolute performance.
Every comparison I've seen between Ryzen 5000/6000 laptops and Alder Lake laptops has AMD winning battery life by a wide margin. Intel may want you to believe their E cores are enough to win the efficiency battle, but in practical use, they aren't doing enough.
