You are right, it's mostly reverse recovery current. Peak current of open half bridge (Cds related) is only 4.5 A.
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As said, operating the half bridge without load connection gives the Cds related switching current.
Don't know if the model is accurate, but reverse recovery is probably not overestimated. Easy peasy is assuming that the real application involves a real load and less reactive current. If that's not the case, you might look for transistors with faster body diode.