where {{presentationId}} and {{manufacturerName}} should be replaced by the values you find in the device object that you fetched from the API.
If you want the full device presentation you can remove /deviceconfig and you can also replace the query string with ?deviceId={{deviceId}} to save the device lookup.
A ‘device config’ is used to customise the user interface of the client apps, with the values sometimes being used to override the default ranges of input and output values. Empty values arrays are perfectly normal.
As you latched onto the values I suspect that is not what you are looking for. Let’s try something else.
Does https://api.smartthings.com/devices/{{deviceId}}/status perhaps give you what you are after?