Earlier quoted context omitted.
You could keep temperature down with fans, but my 90W thinkpad has fans so strong it sounds (and feels) like a hair drier and still runs very hot. I'm having a hard time imagining a 180W laptop that isn't hotter than hell.
You have a gap in your understanding of the physics here. Even a 400W laptop can be cool to the touch. A laptop is hot to the touch because it has hot components (eg a processor running at full throttle) and fails to dissipate that heat correctly. That is mostly divorced from it's power consumption. If you ran a large robotic arm off your laptop, you'd be using a lot of watts but making only a bit of heat.
What I was missing is the part where the laptop doesn't consume 180W and a substantial fraction of that power is just passing through the laptop to peripherals.