However, it is not considered an ingredient, and so does not need to be listed on the bottles.
Also, it may not be considered an ingredient so much as a tool or technique...
I've only done homebrew - but I can't see how a powder, moss or tablet can be removed again once it has mostly dissolved.
But when I used gelatin it set the yeast sediment into a jelly-like layer at the bottom of the fermentation vessel, so when I bottled I'm not sure there was really any in the finished product. The same may apply here.
I think the point of all of them is to encourage sedimentation, and thus they shouldn't be significantly present in the finished product
In the UK with Real Ale, especially cask ale it's used because it's unfiltered and has lots of live yeast and sediment which needs to settle at the bottom of the cask.