I'd like to first completely understand the simpler case.
I think you already understand the simpler case.
I don't think anyone has yet provided a strong argument that Bitcoin wouldn't make the world poorer if it was the main global currency. There have been some hints at some possible arguments.
The hints are inane. "I will save until I have
enough,
then I will consume which is an economic net zero [presuming investment of non-saved real value increases as a result of this saving], or I will invest which is usually a personal net negative." One silly side pretends that this saving will cause economic output to respond more sensibly, while the other side says economic output remains relatively unchanged because of the increasing value of the rest of the currency. These are obviously at odds. If bitcoin could somehow be the one world currency, then there is possibly an argument to be made for the former (but the counter is that it is silly that idle money earns the productivity of others). However, because of the nature of it being deflationary, it may have the exact opposite effect where all investment is high-risk and highly destructive to provide the quickest profit turnaround, regardless of other costs, and which applies to both arguments.
Unless you think the business cycle is a key component of the argument either for or against?
No, but it is the next step, I think. A lot of bitcoinomists tend to borrow heavily from Austrian ideology where the key to a happy, healthy economy is one where the business cycle's effects on productivity are as low as possible. Although these arguments haven't really started yet in this thread, they are usually the next step as to how bitcoin solves problem X after a "simple" analysis such as yours seems to show quite the flaw.
If want to borrow 100 BTC from you and I can guarantee you a 1% real return which comes from real value produced, you won't make that loan because you can get a 3% real return by just holding bitcoin, and the world will have to do without that 1% of genuine value that I wanted to produce.
Implied but not stated that you are actually losing nominal value by investing. Quite the conundrum.
Anyone who states anything about time preferences in relation to saving-but-not-investing bitcoins is quite clearly outside of any school of Austrian economic thought as saving is implied to mean investing. Hayek even wrote some very interesting stuff on what it actually means when saving means saving-but-not-investing. You may find this thread interesting:
https://bitcointalksearch.org/topic/fascinating-information-on-saving-vs-consumption-110708