Good question!
I highlighted the three keywords that appear in the three suttas above in Dosakkhayo’s questions: paṭibhāga, paṭisaraṇa, atthiya
The last two are easier to translate:
paṭisaraṇa means to provide refuge/protection.
atthiya means “(possible) benefit.”
The first one, paṭibhāga, means something like “The presence of this can lead to that benefit.”
One must grasp each word’s meaning in the context of the other questions (preceding the quoted questions above) in each sutta. You can go through the three suttas and ask more questions.
P.S. You should read the English translations provided with each sutta. See whether it makes more sense if you replace their translation with the above.