Hi Tory and Michael B
I have been reading the on-line publication of the N.A.B.U. journal at http://sepoa.fr/?page_id=14. (I was alerted to it by Michael Liebig and also the Agade mailing list).
Amongst the notes there is the following one by Veysel Donbaz, “The PN Aššur-rā’im-nišēšu, A Middle Assyrian Eponymy”, N.A.B.U. (2007/4) number 63 page 78. Here he notes that Freydank gives the name of the limu who dated VAT 10012 as Aššur-rim-nišešu (from the writing A-šur-ÁG-UKŮM[E]Š-šu). Now Donbaz points out that this name should be corrected to Aššur-raim-nišešu on the basis of tablet A.1769 where the name, which dates the table, is written phonetically as Aš-šur-ra-im-ni-še-šu (Aššur loves his people). I assume this provides another reason why this particular limu must be distinguished from the early Aššur-bal-kala limu named Aššur-rim-nišešu (Aššur is the Wild Bull of his people).