I wanted to get an answer first hand from OP, instead of scrolling through video looking for hints.
But I think I got it.
As soon as Underbelly morph is applied, the joints has crashed.

Which I think means there is no skeleton morphing is transferred through the bridge.
So unless I miss something else, there is a little value for most of the transform morphs being relayed from DAZ.
Now regarding Morphs from CC.
The good new is, that it's possible to export certain selective morphs (those not involved with bones scaling) out of it.
The bad news is, that you need iClone for that and individually make desired morphs with Morphs Creator.
I wish Morphs Creator was available as internal function of CC though for quickly building them up for the export.
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Yes, it took me longer to write the reply because I started to reply and then stuck with scrolling the video :)
But generally yes, basic body morphs are still possible to export but unfortunately for now only with Morphs Creator.