Thats right Mahk!
After tying the rigging sling, my lanyard sits above it, and I choke my line below the rigging sling. Just make sure there is a short tail from the rigging block, so the line can sit under without the risk of getting chopped or burnt through. I used to put both above, but its too easy to cut through both at the same time. This way my lifeline is protected by a big sling. I've only occasionally had a sling slippage incident, because I usually tie a cow hitch and take short sections. Even when it has happened, its no big deal - just back off on the hitch or unclip, as you are still on the lanyard.
After the section has gone and is released, flip the lanyard down over the sling, loosen the knot and pop the sling off the top. I clip it through the eye with a large smooth nose HMS to a sling over my shoulder. I then spike down on the lanyard until my weight comes onto the choked lifeline. Descend and repeat.
You can lean into the choked line for support when cutting.
The tree I took the photos on had a 60 degree lean over a roof. These are tricky when placing a face cut, so leaning into the choked lifeline set the opposit side helps. Then i doubled a sling through the pulley block for a foot hold (use the spur or foot). Big photo attached.