After googling for hours and trying not to get lost in the different tshark versions I still can't figure out what command line options to tshark I should use to get the full (reassembled) JSON requests and responses (the JSON data structrues).
tshark 2.2.2 used on a live eth0 interface, not to parse pcap.files. The requests and responses are gziped and need to be decoded.
All the related wireshark issues that seemed related are marked as "fixed" so I think in the 2.2.2 it should be possible.