I have staked the BB shock cord tie outs to the same corner stake as I use for the tarp. That works fine.
I'm not sure about connecting directly to the tarp d-rings, though. I would think that would tug on the tarp for every movement of the hammock and occupant, ultimately loosening the tarp. It might be worth trying, though.
“I think that when the lies are all told and forgot the truth will be there yet. It dont move about from place to place and it dont change from time to time. You cant corrupt it any more than you can salt salt.” - Cormac McCarthy