Putting the whoopie on the CL is totally fine from a safety point of view. Slight disadvantage is that it adds a few inches to your minimum required hang distance.
Larking directly to the hammock is also fine, assuming you have a knob or bump to prevent it from slipping off when loaded.
I like to keep the whoopie and CL separate. That gives me the ability to use the whoopie if necessary on long hangs, or tie strap directly to the CL for extremely short hangs.
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