Is analyzation of tracks stored on the iPad, even if the tracks are temporarily taken off.

That’s how it should be. Just try it out, remove a few tracks temporarily and then add them back into a playlist. The analysis data should be available immediately.
I myself think it’s unfortunate, it bloats the database unnecessarily if the information for every track you’ve ever accessed is permanently stored. I also asked the question here a while ago as to whether there is an option to clean up the database accordingly.

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