The stock list ID decides which channel your stock is written to
The two most critical fields in an Akinon setup are the stock list and price list identifiers. They look like technical details, but here is what they do: the list you write stock to determines which sales channel that stock appears on. Enter the wrong identifier and you get no error — the stock goes to a different channel, while the channel you were targeting stays out of stock.
The price list works on the same logic. You take both identifiers from the corresponding list screens in the Omnitron panel. On installations running several sales channels, verifying these two fields matters more than the rest of the setup put together.