You have a bug somewhere, I'm not sure where.
Roughly speaking the heat of combustion is proportional to the number of atoms of oxygen in the molecules coming out of the reaction.
So CH4 + 2 O2 = CO2 + 2 H20
If you hypothetically split CH4 first, you get
CH4 + 2 O2 = (C + 2 H2) + 2 O2 = (C + O2) + (2 H2 + O2) = CO2 + 2H20
The first reaction is endothermic, but it absorbs much less heat than the heat produced by the second part of the reaction.
So, you can roughly say that the energy coming from burning CH4 comes half from burning the Carbon and half from burning the Hydrogen.
Now, if you can make the reverse reaction CO2 -> C + O2 with 100% efficiency, then sure, you get to economically burn CH4 with zero emissions. But if that reaction has only 50% efficiency, then all your (energetic) profit has been wiped out.
The article doesn't say what efficiency this envisioned reaction has, but I'd be mightily surprised if it were 50%.
Much better to not burn the Carbon to begin with. That is what methane pyrolysis [1] tries to do.
[1] https://en.wikipedia.org/wiki/Pyrolysis#Methane_pyrolysis_fo...