It wasn't clear so I had to dig through it and the study didn't specify either. tl;dr it's mostly meat cut at the deli counter.
From one of the linked studies it mentions:
> RESULTS
This risk assessment, using current retail contamination data for deli meat (Draughon, 2006) and current consumer behavior data for deli meats (Cates et al., 2006) indicates that of those listeriosis cases and deaths attributed to deli meats, approximately 83% are associated with deli meats sliced at retail. The estimated mean number of deaths per year from L. monocytogenes in retail-sliced deli meats was 166.9 (95% CI: 164.5 – 169.3). In contrast, the estimated mean number of deaths from prepackaged product was 34.1 (95% CI: 33.4 – 34.9). Similarly, 919.6 (906.8-932.4) illnesses were attributed to retail-sliced product while 188.6 (184.7-192.4) illnesses were attributed to prepackaged product. Of the four categories of RTE deli meat, most of the predicted deaths were attributed to retail sliced product (which had a higher starting concentration) without growth inhibitor (which allowed for greater growth rates). Almost 70% of all predicted deaths fell into this category. The results illustrate the significant interaction between slicing location and use of growth inhibitor. Sensitivity analyses indicated that the percentage of deaths attributed to retail-sliced deli meats was not appreciably affected by consumer storage time, product shelf life, or total number of deaths.
CONCLUSIONS
Of those illnesses and deaths from L. monocytogenes from deli meat consumption, approximately 83% are attributed to deli meat sliced and packaged at retail facilities (Endrikat et al., 2010). The remainder is from prepackaged deli meat. Similar results were obtained by Pradhan et al. (2010) in a study that compared the risk of listeriosis in both retail-sliced and prepackaged ham and turkey. Studies are needed to determine how contamination of deli meat at retail occurs and to design effective interventions for reducing listeriosis associated with the consumption of deli meat sliced at retail.<