arivero's observations on Koide-like mass relations for quarks:
http://viavca.in2p3.fr/presentations/koide_formula_beyond_charged_leptons.pdf
Top quark and Higgs boson mass, their running and vacuum stability:
https://arxiv.org/pdf/1512.01222v1.pdf
Coincidences... How about these?
##\sum m_f^2 + \sum m_b^2 = v^2##
A stronger version of the above, the two parts of the sum may in fact be equal:
##\sum m_f^2 = \sum m_b^2 = v^2/2##
If the above is true, then sum of all fermions' Yukavas' squares are 1: ##\sum y_f^2 = 1##
(this should be better for vacuum stability than ##y_t=1##).
##m_W^2 + m_Z^2 = m_H^2##
##2 m_W + m_Z = 2 m_H##
The above coincidences hold within, or close to 3-sigma bounds of current experimental error bars. Getting better experimental data on masses is interesting for strengthening or disproving them.
Coincidences are interesting, but without theories explaining them they are "only numerology". How about these?
Vacuum energy is zero, therefore corrections from fermions and bosons should cancel (doesn't it mean that ##\sum m_f^2 = \sum m_b^2##?).
Higgs λ should run to exactly 0 in UV limit ("vacuum is stable").
Take these with a large grain of salt. I'm no physicist.
My understanding is that "nightmare scenario" phrase refers only to the fact that SUSY/superstring/supergravity people's hopes were dashed when LHC found no superpartner particles. I understand those guys - they spend some 30 years working on those theories, and SUSY does have very nice properties (for example, a recent paper where *five-loop* N=4 SYM was proven to be not merely renormalizable, but *finite*!). Supersymmetry would solve a lot of problems. It is a "nightmare" when you work on it for so long, and it gives you such promising results... and then it's not seen in experiments.
Re "savant physicists". I think most professional physicists are not exactly what you'd classify as "normal people" :)
How on Earth did Dirac see that relativistic electron wavefunction needs to be a four-component vector, not two-component?
Don't worry, they will crack it sooner or later.