What is actually happening
Strip away the vocabulary and a typical business integration does something very simple. When a thing happens in system A, or every fifteen minutes, take some records, rename the fields so system B recognises them, and hand them over. If system B objects, decide whether to retry or to put the record in a pile for a human.
Understanding that is enough to have a competent conversation with any vendor, because it tells you what to ask about: which records, which fields, what triggers it, and what happens to the pile.