I think it would be very hard to predict all the side effects of such a controlled cycle. It's easy to predict some of the effects. But I wouldn't have any confidence in any model that purported to tally it all up without actually living though several cycles in real life.
Well that didn't work out too well, and at some point (end of the second temple Era, about two millenia ago) the rabbinic leadership led by Hillel invented a legal loophole to work around the law without explicitly overturning it, allowing debts to persist past the sabbatical year. To read more, search the web for "prozbol" (פרוזבול).
Anyway the takeaway is that good intentions aren't always enough, you have to think through the second order effects of the laws you create. The sabbatical year law was presumably invented to protect the poor, in effect it discouraged lending and helped no one.