You can still organize reactions according to a general structure. For example, organic has substitution, addition, elimination, etc.
Inorganic reactions can typically be organized according to electrochemical/redox chemistry, displacements (metathesis), decompositions (like carbonate decomposition to oxide with CO2 expelled), etc.
I do agree with you that at some point inorganic becomes more like a collection of facts rather than something that can be readily predicted according to some basic rules like we do in organic chemistry. But there's 100+ elements in the periodic table and they react differently than carbon. It's much easier to formulate rules for the reaction of just carbon than it is to formulate rules that apply to every element.