Probably a byproduct of how they measure it? Big C and dC/dV looks like recovery, but isn't.
Example: curve seems to show 100-200pF around 0V, which will drop to negligible levels (< 50pF) past 10V, or (more hand waving), maybe 2ns.
It's partly your fault for looking at a cheap Chinese product and complaining that there's nothing there... :o)
For example: besides the sparse data in general, there's no conditions specified (dI/dt?!), let alone a test circuit (how much inductance, dV/dt, etc. is also present?).
This one actually shows the circuit:
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Even better, we can see it's a 50 ohm system, so of course it has a time constant on the order of 10ns. This one is rated at "t_rr" < 25ns.
Obviously, for a power inverter of mere ohms impedance (depending on just what time constant and characteristic impedance you've designed it for), "t_rr" will simply be proportionally shorter.
And there's always junction diodes. Recovery isn't /that/ bad in the 200V range, and the capacitance is much lower. There are cases where they perform better, despite common advice against it.
You could even use a beefy ferrite bead as an old school saturable reactor to give more time for recovery.
Tim