Hello @Ferenc Szabó , this is the data which gets added to Application insights. You can also add trace policy to do custom logging for the API. Additionally in the advanced options while setting up application insights you can decide on how backend & frontend requests/responses are logged and please be aware of performance implications of logging in APIM.
Also regarding the verbosity level if this is the case please be aware that the setting applied at individual API level will over-ride the setting for All API levels.
You can also refer to this tutorial to understand more about monitoring published API's. Please let me know if there are any concerns. Thank you!