They definitely warp over time so I'd recommend not to put them in the dishwasher. Mine ended up warping hust from washing in hot water.
With that being said, from a sanitary point of view, you're putting thing that may be soiled with poop in the dishwasher where you wash your plates that you eat out of. Woulf highly discourage against that as the dishwasher filter is not meant to process this kind of waste.
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