It simply never meant "dissorder". There is no measure of "orderliness" beyond human perception of what has been determined to be "orderly".
Randomness doesn't mean "dissorder".
If I choose to assign "Coming by sea" to "heads" and "Coming by land" to "tails", then the sequences of signals, {TT, TH, HT, and HH} may or may not be randomly distributed is a series of events. But in no way may we say that there is "dissorder".
The error isn't in the succinctly defined laws of thermodynamics. The error is in the prose definition mutating away from that which it is to something which it is not.
Lambert isn't, so much, redefining it. That has already been done, and quite inapropriately. Lambert is presenting the appropriate definition, applying the words that properly define what the succinct mathematical measures and definition actually represent. When a term has been defined then improperly redefined, further "redefining" it to return it to its original definition may be locally redefining it. It is, globally, properly defining it.
Mathematically, an analogy would be that of subtracting what has been inapropriately added. The original definition of entropy never meant "dissorder". "Dissorder" was added and Lambert is subtracting it.
Entropy means "Dispersal of energy" had "to dissorder" added to it, "of energy was dropped. A=B+C became A=B+C-C+D which yielded the erronious definition of A=B+D. So, Lambert is returning it to the proper definition by subtracting D and adding C.
If someone took a hammer to your car door, then the body repair took a hammer to it again, you wouldn't say that the repair shop was damaging your car by redenting it. You would say that someone dented your car and the body shop was "undenting" it. Correctly, you might say the body shop was "redenting" or "rebending" it.
"Defining" + "redefining" + (-1)*"redefining" = "defining".