I have tried with the power save on and on auto. The actual audio has the noise characteristics so it seemed largely unaffected by that setting.
I'm playing this through a mixer, which also goes out to speakers, but also has a rec-out I use to capture the audio. The mixer, I'm sure, introduces some noise but the noise I am hearing definitely sounds like aliasing now that I've looked into it more - the mixer doesn't add that (I use it to record sources that don't have aliased noise).
From what I understand about the SID, it is a digitally-controlled analog synth at its heart. The precision is probably low, but I don't think it has the aliasing problem in the conventional sense. Plus it has analog filtering caps so I bet that may be helping there, in at least the cases where you have it on low or bandpass (I don't recall hearing any aliasing from the high-pass either though).
The SID is a noisy little beat, but it's mostly fuzzy noise, and that's noise I tend to like when talking about vintage gear. I'm not 100% sure about that, but I certainly haven't heard any aliasing with my MidiBox SID synths like I hear with the GameBoy.
vgx is probably on the money in regards to the aliasing going on. The characteristics of the spectrum graphs I have produced look strikingly similar to some of the ones I have seen when looking at discussions over downsampling (which causes aliasing).
I might build my own analog filter just for the GB at some point. In fact there's some neat work on the MidiBox side using SSM filters, though that's more than I need. I really just need a low-pass noise filter. I would imagine that isn't going to be terribly complex to build. For now, though, I'll likely do it in post since I have plenty of other things I still need to build (like an ArduinoBoy).
It's an interesting conversation for sure. Funny how I never noticed the aliasing when I was younger. Or maybe I did and just didn't know what it was