well, the example of a dominant thirteenth is found at the beginning of the brahms op 118 #2. you can see the large stretch and though i never really took the time to analyze it fully when i was working the piece, it makes sense that brahms took harmony a bit farther. you know how in theory they say - don't go down a second. well, brahms does this all the time. he likes seconds. he likes changing major to minor on a whim. he likes chromatic third alterations. he likes using diminished seventh chords. he likes using tri-tones. and, unlike other composers, he plagarized a lot from himself. you'd never know it, because he turns it into something different...but i hear the fourth movement of brahms requiem in parts of the op 118 #2. you can hear his longing to be with clara forever.
I believe that as theory becomes more complicated, analysis becomes a controversy. Pretty much, that there is no one method of analysing a piece of music, but a variety of different approaches that can lead to different outcomes.