I used to do all my home work (consulting ~10 hours a week) on a recliner in a similar but less exaggerated position using a laptop. After replacing the couch (a hand-me-down) with one that has a flat chaise instead of a recliner, I find I really miss it. If I have to do anything work related for more than a short duration on the couch, I now find that I end up using pillows to simulate the exact positioning of the chaise you linked.
I should probably build myself a better work area here, and that recliner plus laptop combo worked out really well...
http://www.dwr.com/product/lc4-chaise-lounge-cowhide.do?sort...
and I can now offer as an update that it's really working out well from a comfort perspective. Obviously, this isn't necessarily feasible in most offices; but if you work from home, I highly recommend it.