I expect you mean that lifting spadefuls of soil up and out of the ground is usually referred to as tiling, rather than the other way around. Which stands to reason as that is perfectly consistent with the dictionary defection.
> Aeration with a broad fork doesn't lift the soil out of the ground and definitely doesn't break it up
Aeration does not lift the soil, but it absolutely breaks it. That is why one would consider practicing aeration – to break up soil compaction that may be present. Cultivation, and therefore tiling, says nothing about lifting or redistribution, only breaking. Aeration is also tiling if done for the sake of ground preparation.