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.
__________________ May the bridges I've burned light my way.
Yeah, I think these have definitely seen there fair share of negligence and I agree that they are very hard to revive. I suspected the watering issue too, and increased watering on the second one displayed. After I increased the watering, all the leaves began to suddenly yellow and fall off. I guess this one must just be at end of its life time, however I think the first one should make it. Thank you for all of your help.