Depends on what they meant by "cold cuts." Lean sliced roast beef bought over the counter tends to be a fattier cut and higher in sodium. Same with turkey, althought it's less fatty. But it's still ok to eat on a diet.
Processed turkey, rb, ham sold in those little bags, the cheap stuff, know what I mean? That stuff is VERY high fat and sodium and way overprocessed. Not a good diet food at all.
Then there's cold cuts in the more traditional use of the term, salami, pepperoni, pastrami, etc. As far as that stuff goes, you might as well just eat pure salt and fat.