Quantity over quality is what this FO does. Sign a bunch of minor league FAs and waiver claims, stash them in AAA, and shuffle them through the pen.
That's why this team is always short in the pen.
"Shuffle through them until a couple overperform" is a terrible idea. First, it's unlikely to work, and second, even if you end up with a couple usable guys, you've spent a good portion of the season blowing games while you shuffled. Meanwhile a couple other flash-in-the-pans have lost the magic pixie dust that led to a couple successful innings and you're looking for their replacements.
This FO needs to rethink its pen strategy, particularly given their clear decision to limit starters. "It'll work itself out" isn't a viable strategy.