Yes, the DJI RS 4 is compatible with the Sony ZV-1 Mark II.
Sony ZV-1 Mark II has a fixed (non-interchangeable) lens, so its full operating weight -- 292g including battery and card, per Sony's own spec page -- is exact. DJI RS 4's stated payload capacity is 3kg (6.6lbs) per DJI's own product page. 292g is well within that range, so the camera balances and operates normally with no adapter or special setup required.
“Weight (with battery and memory card included) Approx. 292 g (10.3 oz)”
“3kg (6.6lbs) Payload Capacity With Extended Tilt Axis”
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