ah… actually, real lasers ARE visible mid-beam, but only if there’s enough crap in the air to reflect the beam. So I concur with your statement, mostly…
To clarify: the beam isn’t visible, unless there’s something to reflect it. However, you’ll find that in the modern context there is usually enough particulate floating in the air that the beams are visible, even if only slightly.
Obviously the more power in the beam, the more visible it will be, conversely, the lower the level of atmospheric particulate, the dimmer the beam, regardless of power output. This is one reason most commercial laser shows rely so heavily on fog machines or mist production gear and whatnot.
I’ve worked with 20Watt Argon lasers that were visible in the shade on a bright, crisp winter’s day with low-levels of particulate (bear in mind you’d need a VERY powerful beam to be visible in bright sunlight) and I’ve worked with beams that were VERY close to invisible. One good example of the visible beam is the output from the two 100Watt Yag lasers in the eyes of the Merlion(!) on Sentosa Island, here in Singapore. The beams are visible for their entire length (at night) such is the density of the atmospheric soup here (the columnation in a Yag laser isn’t very good, so the beams are not so powerful at 100W as you might expect).
So, Superman’s eye beams might not be visible during the day, but given the level of pollution that almost certainly hangs over Metropolis on any given day, and given that Supes can melt dense, tempered steel in mere moments (ref to the comics and the recent Warner Bros cartoons) he has to be pumping out a LOT of power in those beams, so it’s likely they would be visible. I’m guessing, on average he’s churning out something in the order of hundreds, if not thousands of Watts at any given time (this very rough guesstimation is based on observed experience , having seen a 20Watt Argon laser take about two minutes to burn through 2mm aluminium). However, this assumption only works if heat vision is similar to a helium-neon laser (red beams) which are visible at lower temperatures. Higher power lasers tend to be Green-blue(Argon), or invisible (Carbon dioxide), which adds more credo to your assertion that the beams should not be visible.
And yes, the more powerful the beam (on a visible laser), the hotter it gets and the more it moves into the visible spectrum (exhibit A: my right hand which got burneded many times while adjusting mirrors youch!).
Just to add a bit of semblance to this, light from the sun isn’t visible mid-beam either, only at the source and when it strikes something…
Somebody with more recent laser experience will be able to clarify some of this methinks, it’s been a while since I worked in the field.
I really ought to be working y’know…