«حَتَّى يَكُونَ الْمَذْكُورُ وَالْمَحْذُوفُ بِمَنْزِلَةِ خَبَرَيْنِ»
So that what is retained and what is omitted stand as though they were two separate reports.
Consider this non-hadith illustration: “The teacher returned from a journey, and new books arrived at the school.” If the statements are independent, citing the teacher's return alone does not alter its meaning.
Contrast a conditional statement: “The teacher will travel **provided** the road is safe.” Omitting the condition and saying only “The teacher will travel” changes the hypothetical claim. Independence must be established through the content; a pause, or even a conjunction, does not itself demonstrate that the two portions are independent.