A few different sources (goljan, papers, websites) say that the drug induced one is either a type I type IV mix or one or the other. As you mentioned there is often eosinophils, but there are also CD4+ and CD8+ lymphocytes in the tubular epithelium. None go into too much more detail than that and I suspect that it may not be known all that well and thus not particularly testable. I suspect they would test more on the common drugs that cause it (penicillins, NSAIDS, etc). The mechanism behind the version caused by acute pyelonephritis best I can tell is just inflammatory damage to the parenchyma due to the infection.
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