the fact that it predicts nothing can be seen as a downside, but should not disqualify it, since the theory can explain that very fact.

If that doesn't disqualify it, then I propose the following "Divergent Theory", defined as follows:

• Everything is Divergent Theory.
• Divergent Theory predicts Divergent Theory, thus Divergent Theory predicts everything.

The fact that Divergent Theory predicts everything means it predicts nothing. This can be seen as a downside, but should not disqualify it, since the theory can explain that very fact.