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I'm not sure that is entirely correct. Whether you are referring to Lloyd Bridges as "Beau Bridges' father" or "Beau Bridges's father" you would pronounce it "brɪʤɪz" not "brɪʤɪzÉz". Conversely, regardless of whether you referred to This American Life as "Ira Glass's radio show" or "Ira Glass' radio show", you would pronounce the possessive of his last name "glæsÉz" not "glæs". So, I think some (maybe most) pronunciations of possessives are universal, regardless of how they are written. What the guide is saying is that the apostrophe should reflect the pronunciation. Given the multitude of styles (some always using s's and others always using s'), you should not, as a rule, always pronounce it based on how it is written, because regardless of pronunciation, neither way of writing it would be incorrect. However, writing it based on pronunciation would be preferred, because it would make it easier to read.
Of course, not all pronunciations are clear. I think one could legitimately say either "graɪmz træk" or "graɪmzÉz træk", which I guess means you could write it either way. But for me, the "graɪmz træk" sounds more natural, so if I were following the guide, I would go with "Grimes' track", in which case the reader should gravitate towards saying it the way I think is better: "graɪmz træk". Of course, you might object and think "graɪmzÉz træk" sounds better and write it "Grimes's track", in which case a reader might gravitate towards the pronunciation that sounds better to you.
BC