ICE amps need cooling?

No, the 80w is the power it consumes in "standby" mode, i.e. leaving it on all the time without use is like burning an 80w bulb for energy consumption.
The specs of 500w are accurate in that module for those amps, if you take notice, the power output of all the ICE amps are almost identical, 100-125w for the smaller, and 500-550w for the larger, all in 8 ohms.
They control bass very well.
They run very cool, even after heavy use, all 3 I had have done this, both the smaller and larger power amps.
They would work well for Maggies, or any other low efficiency speaker.

It is not standby power. Smaller module 200ASC has FTC power listed as 55W (standby is about 10W). Icepower cannot run with maximum power for a long time but you don't need it because "average music power" is in single percents of peak power. Also B&O spects are very conservative - please read what I found on another forum:

"Originally posted by dmfraser
I operated a sample 1000ASP on the bench delivering 350W average of pink noise into a 4 ohm load for over one hour with no additional heatsink and the metal case stayed below 55°C.

However, higher levels would make the power supply voltage go down to act as a thermal compensation. Much nicer than just shutting down.

However, with 1214W of sine wave, partly into clipping, after about 35 seconds, the output level would drop to about 600W by the protection circuitry. Remember this is with no additional heatsink.

The 200ASC, I was able to operate with sine wave at 100W into 4 ohms continuously. Turning it up, with sine wave, the module would shut down at about 214W.

However, with pink noise at 100Waverage and a 6 db crest factor, the 200ASC would run all day without shut down, until I was tired of tying up one of my Audio Precisions with it. It would also run all day with music, driven hard where the output limiter was set to a peak limit of 210W maximum. That is, the limiter would allow small amounts of clipping. Driven so the limit light in our external optical limiter was on essentially continuously."

Icepower has even more serious limitation of maximum power at higher frequencies (to protect output chokes) but again it's not important since high frequencies in music carry very little power and the tweeter (and your ears) cannot take more than 10% of the speakers maximum power anyway.

Koestner is right.These amps should use cooling,if under demand for larger power.My friend noticed this in specs in the datasheet ICE files (page 21 or near).
Kijanki is right,too.I believe these amps still can reproduce music with (very) big dynamic changes faithfully.Power demand only happens from time to time.

But nevertheless,it is not true 1000W/4 Ohm.It just can reach this from time to time.But more is actually not needed for music reproduction.

Does anyone know of a similar test with Hypex modules?In their datasheet it does not say for how long they can sustain rated power.

My Channel Island D200 amps (which uses Hypex) are rated per FTC rule. Early serial numbers had a problem, noted in the Stereophile review, which limited output, but this was fixed as reported in a followup review. My Carver ZR1600 amps are Tripath based, and they are also spec'd per FTC rule. It has a fan: the CID200 does not. Neither amp gets even warm when playing loud into 4 ohm MG1.6s.

My GCC250 runs warm in a poorly ventilated space ONLY if I hammer it as loud as it'll go for as long as I can stand.
Other than that, reasonably cool, good dynamics and response.
Since I gave up listening to sine waves and pink noise sometime in the mid/late '70s, the FTC limit is not exactly germain.
Besides, are maggies known for sheer loudness? If mine go much over 98->100db in my listening room, I'd be surprised.
If you want louder, buy a louder speaker.