That works. There are many suspension options which all work, and each have their minor advantages & disadvantages. For a long time, I had my adjustable loop on my whoopie going through the sewn loop on my tree strap. This is advantageous because it makes you suspension a one piece system, which makes it less likely for you to leave your tree straps on the trees! I did however, have a Dutch biner or Dutch hook on the fixed eye connected to a small continuous loop on the end of the hammock. The advantage of this is that I could remove the suspension completely from the hammock and pack it away separately if the suspension got wet or coated with sap.
"Life is a Project!"