I agree.
I found "amplifier glow" & thought, that iso heats that amplifier, cooking sensor...
I don't have hard data but IMHO, seeing amp glow more at high ISO has more to do with amplifying the stuff close to the noise floor than the amp working harder.
In any case, the ISO setting doesn't control the actual amplifier setting between shots. The camera juggles shutter speed and gain to provide an appropriate preview. See
https://chdk.setepontos.com/index.php?topic=13508.msg145106#msg145106If you wanted to make the camera read out less often in live view, you'd want it to use as long exposure as possible to force the frame rate down. This would suggest setting a high ISO setting in the UI, so the camera will need to make the preview brighter, which will (all else being equal) require longer exposure. No idea whether this has perceptible impact. I'd expect half press to run hotter than idling in live view, because it draws more power and the camera normally uses a higher frame rate and likely clocks some things faster.