permanent 4 wheel drive systems want all 4 wheels to be the same so there isn't uneven load on the differentials - the wheels should also be periodically rotated to make sure they all wear evenly.
Not an issue on a modern Lexus. There really isn't an issue mixing tyres across axles, more important to have the same on each axle. Although vastly different grips levels would make the front and rear handling a bit unpredictable, such as mixing winter and summer tyres - Cross Climates are summer tyres.