That's because even at 1%-2% inflation a year is difficult to spark the so-called thesaurisation phenomenon you're implying.
In general I agree with you, I'd just change "low inflation" with "deflation".
On the "money" being neutral with constant inflation. Yes, sure. It's the business dynamics that are not neutral. Quick example:
- Say you have 10$ costs and 10$ revenue every year.
- One year you expand production and you have to pay an additional 10$: so 20$ costs and 10$ revenue for that year.
- With 0% inflation you have a 10$ loss (20-10), while with 10% inflation you have (20 * 1,1 - 10) = 12$ (about 11$ on constant prices terms) in loss (revenue won't grow till next year).