Stability an arbitrary goal, even as growth is an arbitrary goal. The difference is that an inflationary currency is inherently unstable, continual inflationary growth at any rate will ultimately become unsustainable. This unsustainable condition defines the limit of an inflationary economy. OTOH the limit of a deflationary economy is defined by the lowest price limit. With a currency that is not very divisible this is rather limited by the smallest divisible unit. For example it may be reasonable to pay one penny for a potato, but less reasonable to pay one penny for a ton of potato, transactions become unwieldy. This is not the case for a currency that is essentially infinitely divisible... which is something we have never had before.
Stability is something of a relative thing. There will always be market segments that are unstable and you can not fix this by managing a currency or a monetary system. What you would have to do, in effect, is to micromanage the availability and demand for each individual commodity... Ain't gonna happen...
Not talking here about stability of an economy as such.
The stability I have in mind is price stability.
And if price stability can be attained by relatively simple means, why prefer eternally sliding prices until one day we (might) run into the physical limit where prices can no longer slide because they can't be expressed, as the unit has been subdivided by too many decimals?