It's not about just doing the dishes, it's about the sum of all the other chores and things you have to do. It's overwhelming in its entirety, not the individual tasks.
When they look at the washing up a procrastinator doesn't just see the washing up, they also see that they have to do a laundry, fix the cupboard creak, do a full clean of the cupboards, clean under the fridge, wash the floors, dust the cobwebs, fix the dripping tap, take out the recycling, decide what to do with those old jars, etc., etc.
Even if they do eventually manage to do a flurry of chores, and usually feel great, it's not a habit to do it again. It's not a scheduled minor, automatic, task. Your brain deals with habits much easier than things you have to consciously do.
So it inadvertently builds up, and BAM, as if from nowhere, there's a massive pile of washing up with a whole load of OTHER tasks mentally attached to it again.
You see it as easy and lazinness, but we don't. The irony is that living like this is actually a lot harder, you're having to ultimately put more work in for often worse results.