I’ve seen once how commercial cold cuts are being produced. I never want to try those again, it’s absolutley nauseating.
If you stick to the cold cuts that are just hunks of whole meat in a recognizable "animal part" shape -- ham, turkey, roast beef, etc. -- those seem perfectly fine. Heck, some of them (like roast beef) your grocery store might actually make in-house.
I also find the dried cured meats to be totally fine -- salami, pepperoni, etc.
When I see ham that comes in a rectangle, or stuff like bologna or liverwurst, then I can understand being a bit more suspect...
I'd guess it's that they never see anything but Oscar Meyer and competitors bologna, while there's deluxe salami but as this story shows that doesn't really make one more trustworthy.