There's no good reason to encourage value generation through inaction. That's one of the many good reasons to have abandoned deflationary currencies.
From the banks point of view, funds in checking accounts and funds issued as cash were pretty much the same. Just that the cash didn't pay interest, and you didn't know who had it. And it could get lost and never come back to you. (Though perhaps similar to people abandoning accounts sometimes?)
Holding the notes issued by a bank was equivalent to giving the bank a no interest loan. The bank itself invested the funds in loans to other companies. You forewent consumption and took on some risk.
Nominal GDP was remarkably stable over that time in Scotland. In reverse that means that one pound represented about the same share of total economic activity year after year. (The absolute, real amount of economic activity increased a lot.)
(Their governments finally put an end to it. But I'm not sure you want to include that in the 'system'?)