technically sleeper berth is sleeper berth, sleeping or not, and off duty is off duty, sleeping or not, they are not the same thing, they are not interchangeable, but they do accomplish exactly the same thing. and yes elogs differentiate if you push the buttons in the right order.
the biggest thing is going to be the same, regardles of paper or paperless. if you log 8 or ten off duty when you have a sleeper truck, at some point in time somebody of some importance will get curious, and also, if you log any sleeper time at all in a day cab, somebody somewhere, at some time will get curious. curiousity killed the cat. (cat, pronounced canadian american trucker, the mexicans are exempt from such frivolous persecution).
jh