I see your examples differently. In some cases I find that the logical relationship is more prominent than the temporal relationship. I see them all as imperfective + imperfective with the exception of "was invited", in what I labeled sentence 6 below.
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jooneyHe came home, talking on the phone.
What does this sentence exactly mean?
1. While he came home, he talked on the phone.
=>It took 20 minutes to get home and he talked on the phone all this time.
2. He came home while he was talking on the phone/While he came home he was talking on the phone.
The talking start