The same question has been asked several times about the Flysurfer Peak2 kite, a single skin kite.
I wouldnt mind a kite that is not relaunchable, as in the winds I use these they can not anyways, and if a single skin it is much faster to roll it up if in the water, and dry again on land - also faster to pack down, and lighter so will hang extremely well.
Downsides are probably:
More flapping depending on design.
Less performance meaning less peak power for getting going in marginal winds.
Not as stable and firm, as no trapped air to keep the frame rigid.
So I think it is all up to if above losses mean anything, compared to the obvious advantage in simplicity and weight and speed of rigging packing up/down
You could do a search here on the Peak2 also.