In OZ, they call it a Swag (not a bedroll)

[TACAIR]

Kodiak Canvas Swag 1-Person Canvas Camping Tent

More than a bivy, even lighter than a classic canvas bedroll.  Almost a tent, or tent like.  Easy fast up and down, built in mattress pad, bathtub bottom.  

company video -  Kodiak Canvas Swag Tent (youtube.com)
no guessing on agendas of "reviewers"

Canvas vs nylon, so more weight, but longer lasting.

Not for everyone, but does the job.  One of these would have been sweet - back when I was working for a Geoexploration company.   Sleeping in the field would have been a lot more restful.