For SAKs and similar stainless traditional knives, you might be OK in not oiling them, PROVIDED you keep the knife pretty clean. Stainless is generally more wear-resistant than non-stainless, so it's not as vulnerable to the wear seen in non-stainless folders' pivots. I don't think I can even remember the last time I deliberately oiled an all-stainless folder, except in situations where I was having an issue with a sticky or tight pivot. Even then, most of the 'fix' for this problem is to thoroughly clean the pivot of all grit and debris. I normally do that by immersing the knife in hot soapy water (use liquid dish detergent) and repeatedly exercising the pivot by opening/closing the blades.
With carbon-bladed (non-stainless) folders, these steels will wear at a much faster rate than most stainless, and the abrasion between the blade's tang and the backspring will regularly produce black swarf (metal dust) with continued use. These are the ones that I feel must be kept clean & lubricated with something, to keep that wear to a minimum. The 'auction site' and other secondary market sites are awash in old carbon-bladed folders that obviously weren't oiled much, if at all, and the result is very loose and sloppy blade play, as the contact faces get worn away over time.
There are some folding traditional knives featuring non-stainless blades paired with stainless springs (Case's CV line, for example), or vice-versa (some older Camillus-made folders, including the older Cami-made Buck 300-series knives). I'd also keep those pivots lubed, as the carbon steel will will always wear away at a faster rate than the stainless.
David