AFAIK the 300V / 100V CAT II of the probe inputs are without any attenuation in the probe, so with a x10 probe you can measure higher voltages. Most passive x10 probes I know are specified for up to 300V RMS CAT II, that´s over 420V peak with some tolerance for transients.
The "maximum CAT II to ground = 450V" is the max common mode voltage and that means that none of the inputs should exceed a potential of more than 450V to GND of the scope.
If you put the + input of the differential probe to 380V and the - input to 350V then the scope reports a differential voltage of 30V and everything is in spec. If you connect it to 480V and 450V then the signal is the same, but you are exceeding the common mode voltage.
If you connect - to 0V (GND) and + to 400V then you exceed the max differential voltage in to x20 setting.