Hey,
as stated, waycategor/waytype-information will be available in the extras-section if you ask for it using the extra_info-parameter.
This can be a bit tricky to read, have a look at this response where it gets explained a bit.
The waycategory summary will then contain the durations for all segments together, but it is possible to tally up waycategory durations for specific segments manually.
Best regards,
Jakob