* Candidates may only request recounts in state and federal elections. This leaves lower levels (esp. cities and counties) with no recourse.
* If the margin originally reported is greater than 0.5% then the recount requester has to put up a bond to cover the full cost of the recount. Since the question being researched relates directly to unexpected statistical skew in voting results after voting units (precincts?) reach 500 votes, that skew if artificial and introduced at the tabulating stage might well result in a margin greater than 0.5%.
I'll grant though that perhaps she should have chosen a different place to check since the statistical pattern is not only seen in Kansas - it's just that the researcher is in Wichita, so presumably Kansas is the easiest place for her to work and she's an interested party as a resident of the state.