Why do I see definite classes of patterns across WolframTones images?
Those are essentially the Wolfram Classes, discovered by Stephen Wolfram around 1983. There are four Classes: 1: becomes uniform; 2: becomes cyclic; 3: makes randomness; 4: makes complex localized structures. WolframTones mostly picks Class 3 and 4 rules to use. Class 4 rules often yield the richest compositions.