This is how they die when conditions aren't proper. I don't think the primary problem is rot. If roots are dead it is likely due to being too dry, not getting enough air or getting too hot at some point.
I don't know what happened, but Miltoniopsis are hard to revive when they start going downhill. Uprooting the plant and cutting it up is unlikely to help. I personally wouldn't let them get partly dry before watering, but I'm not a good Miltoniopsis grower.
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