electroweak

All of this is the electroweak force theory (unification of the electromagnetic force and the weak force).

That's basically what the Standard Model is: QCD + electroweak, agglomerated as separate interactions, not unified.

Edit: Doing some quick searching seems to indicate that giving neutrinos a bare mass term would violate electroweak gauge invariance?

The LHC probes physics at the electroweak scale: hundreds of billions of electronvolts, billionths of nanometers.

Also, the Higgs boson is more interesting for its evidence in spontaneous electroweak symmetry breaking than for its ramifications on matter.

Per my understanding, there's less concern over unifying, say, the strong and electroweak interactions.

Giving any standard model fermion a bare mass term would violate electroweak gauge invariance.

Because what we see as a photon is a the one bozon left without a pair of one of the four pre-Higgs bozons that exist prior to the electroweak symmetry breaking.

Did you know that electromagnetism is actually part of the electroweak force and that fact was proved by the LHC's discovery of the Higg's boson?

Electromagnetic, or electroweak if you want to go more fundamental.

The model treats electroweak coupling as a projection of observable spatial degrees of freedom into a larger orthogonal information space composed of 11 total dimensions plus 2 weak isospin modes.

This mechanism was originally proposed to get around a nasty problem in physics; our super-awesome theory of electroweak interactions was very clear that the weak bosons (W and Z) must be massless.

All that other stuff about precision electroweak measurements, possible third flavor discoveries, and maybe just maybe just maybe the next collider can collect sparticles are just plain boring and a reason to leave the accelerator race to somebody who's willing to make unlimited capital investments to "catch up" to the west.

So the answer to your question is that popular physics writing often uses "unification" as a shorthand for "unified prediction" rather than "a single interaction." That's what this article is doing: the referenced Wheeler-DeWitt equation is NOT a unified theory because it does not explain QCD or electroweak.

Electroweak, strong nuclear etc etc, or one of the convenient subdivisions that are often very helpful under various circumstances.