None. Using ProQuest's historical newspaper search, I found exactly one mention^1 of Emus as Australian pests at all in a search for 1932 and several subsequent years, and this article makes no mention of eradication attempts, only that "[Emus] are a great pest to the settlers" and focuses more on Kangaroos, which apparently were causing disruptions in sheep raising. This isn't a database of every newspaper ever, but it is a decent cross-section, so even if there is one out there undigitized by Proquest, I don't think it would change the fact that there was little coverage internationally. What limited writings seem to have been done post-"Emu War" and pre-internet look to come from Australians, such as the Ornithologist D.L. Serventy who made mention of it in, it looks, 1963.^2
As discussed here it was a minor pest eradication effort that involved less than a dozen men for the most part, and although the hilarious ineptitude did create a minor political scandal in Australia, it shouldn't be surprising that there lacked any interest in the bumbling of a few men in remote Western Australia would hold much interest for audiences on the other side of the world. The interest and focus on the war is very much a product of modern internet culture,^3 and not indicative of the historiography of the conflict as a whole, insofar as there is any.
1: Australia boasts many wild pests. 1933. The Sun (1837-1993), Jul 30, 1933.
2: The Ibis, Volume 105. I don't have access to this journal but tracing back a quotation in an Enclopedia article, this seems to be the origin of when he first wrote it.
3: I've been traveling through the history of the Emu War page on Wikipedia and it is pretty funny to see the evolution, such as this point in 2008 where the Emus were described as the 'Anarcho Syndicalist Union of Emus', a description that lasted over a month before a spoilsport removed it because "I don't think at this point that they were offically joined into a syndicate." [Emphasis mine] Likewise "Dignity" was listed as a loss for the Australian forces for a month as well beginning in March. IT would continue to be added and removed for quite some time over the next few months, as this seems to have been a real point of contention, with the page finally being locked to edits by new or unregistered users in June. Also, for some reason in May that year, the page briefly became a biography of Alfredo di Stéfano Laulhé... Anyway though, lots of fighting about how "Funny" the page can get, and others who want to take it seriously. The latter essentially wins in the end. HArd to pick out a tipping point, but by early 2010 the page starts to clearly be played more 'straight' when one particular contributor, "Bilby", comes to the forefront, and is pretty protective of the page in this "'Emu War' Wiki Page War".