measuring floating inductor current in a truesine inverter application

The LEM ones look pretty neat:

Good datasheets too, so with increasing frequency, it looks like the gain of the sensor increases, so the output current is more than actual?

I guess that is why they have such fast step response to current spikes,

I thought I would have to use a current shunt and fast opamp for cycle by cycle current limiting, but I guess these can be used solely for this, in a 200kHz SMPS.

Are the Tamura parts:

Suitable for cycle by cycle current limiting at 200kHz PWM frequency as well?

cheers, Jamie