The physical size of the Nvidia Shield TV isn't that different from the Switch.
(a couple of comparison pics I just took)
https://imgur.com/a/Hqw5ls5
The outlet vent in the second picture shows they're almost the same size, and the thickness of the devices arent too far apart either. So I'd assume the internal heatsinks and fans must be of similar size as well.
The key difference between the two devices is that the Switch is a handheld console. People forget (or don't even know) that the Switch in its dock is the TX1 running at normal clock speeds (not overclocked), while the handheld mode uses a underclock (and not a stock speed). This in all likelihood was done purely for the sake of battery life and not thermals.
An overclock to near Shield TV speeds might be reasonable as long as its plugged into a power supply.
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Those were confirmed as being emulated.