May I ask what the better, or more correct, way is?
Perhaps the real problem with creationist 2LoT arguments is that they nearly always conflate the physical/chemical entropy of Clausius and J. Willard Gibbs with the informational "entropy" of Shannon. Information doesn't typically give off or take up heat to any large degree when it's transferred, and doesn't care how warm the room is, so
dS =
dq/T just really doesn't matter in the area of info.
Ye gods, I hated Thermo.....