All compressors heat the charge they're compressing. It's a law of nature (the ideal gas law). All supercharged engines will benefit from charge cooling. I won't use the the term "intercooler" because that's not really an appropriate term for the typical automotive design. If that supercharger doesn't need a charge cooler, it's because it has a low pressure ratio and isn't doing much compressing.

Mechanically-driven superchargers usually don't have charge coolers because of packaging problems.

I'm not sure what you're trying to say regarding heat loss.