I don't understand why I keep reading/hearing that DSLRs can't show depth of field live. Of course they can - it's not an effect that requires processing using a DSLR, it's just the natural characteristics of the lens optics and aperture. If this were true, you'd never be able to manually focus an image using live view mode on a DSLR.
Yes it's quite ridiculous how badly researched these claims are. With mirrorless cameras especially, you have no trouble fully previewing the actual final result. However, it is worth noting that a DSLR makes it impossible to see the actual depth of field for larger aperture lenses due to the fresnel effect of the pentaprism apparatus. Basically what happens is the maximum aperture size is limited, specifically it's about f/2.8 for a 35mm full frame camera and f/4 for APS-C cameras.
So if you had it in your mind that you were shooting with an actual DSLR (not mirrorless, not rangefinders) with a lens at f/1.4 (or equivalent if using a non-135 format camera) then it's actually true that it's not possible to preview the final result through the viewfinder.
Of course, I haven't seen a DSLR that couldn't also shoot in live view mode if you wanted to do that. And the in-between design of the Sony SLT cameras has no such limit on maximum aperture that can be previewed at any time.
Basically, even with the caveat mentioned, this is an incredibly ignorant claim (and not one that Apple is making, afaik.)