For crosscontimatination's sake it's generally considered best practise to just have seperate boards. It's also just plain easier IMO. Yes you can mitigate it by fixing the order and washing afterwards, but that does mean you're forced to wash your board after every use.... which means you're oiling your board a lot more often.
Just because you got away with something doesn't mean it's good practise. Even Russian roulette has a positive outcome 5 times out of 6.
FWIW Hasegawa in their own promotion basically claims they're heat, water and bomberproof. The wood core is actually in there to prevent warping, and shouldn't suffer from it since it's entirely encapsulated. So technically it should be possible to dishwash them. Maybe longtime users can chime in on their experiences with that.
I'm also open to suggestions on this topic. I'm adamant about having something that's able to go through 70 degree dishwasher cycles, even if only for the sake of convenience.... but I also don't want it to screw the knives, fall apart in a few years, or cost a fortune...
The cheap plastic stuff works, but it's not great. Feels like crap when cutting, you always have to mitigate their slipperyness.