  We prove that a very large class of $15502$ general Argyres-Douglas theories
cannot admit a UV lagrangian which flows to them via the Maruyoshi-Song
supersymmetry enhancement mechanism. We do so by developing a computer program
which brute-force lists, for any given 4d $\mathcal{N}=2$ superconformal theory
$\mathcal{T}_{\text{IR}}$, all possible UV candidate superconformal lagrangians
$\mathcal{T}_{\text{UV}}$ satisfying some necessary criteria for the
supersymmetry enhancement to happen. We argue that this is enough evidence to
conjecture that it is impossible, in general, to find new examples of
Maruyoshi-Song lagrangians for generalized Argyres-Douglas theories. All
lagrangians already known are, on the other hand, recovered and confirmed in
our scan. Finally, we also develop another program to compute efficiently
Coulomb branch spectrum, masses, couplings and central charges for $(G,G')$
Argyres-Douglas theories of arbitrarily high rank.
