> For example, we know QM are GR are inconsistent, so if I give you a parsimonious, consistent theory that captures both QM and GR in the appropriate limits, then that's a great reason to prefer it.

Absolutely agree. But BHILP is not the only inconsistency, so if you only solve that one and leave the others, but complicate the math or add other elements that can't be tested, it's not a particularly compelling theory.

So, why not work directly on the other inconsistencies, which might be directly testable, and see if this one disappears that way?

To be clear, when I say other inconsistencies, I am referring to things like making QFTs work in a non-flat spacetime, and/or reconciling the linearity of QM (without Born's rule) and the non-linearity of GR.