" or are we doing the same thing with the digital bodies that we did with the 35mm bodies in a different way?"
^^^^
This. And as one trying to learn to do PP so it looks professional, I can tell you it's not that easy.
The principles of exposure value, ISO (film speed), shutter, aperture, making that all work, depth of field, composition, stopping motion, blurring motion, being able to visualize the end result in your mind's eye then using the technology at your disposal to make it happen ... not that much has changed, frankly.
And like in the film days, there are hundreds of crappy photos taken for every one that was worth taking in the first place, and of those, there are hundreds that are poorly focused, poorly exposed, poorly processed, or otherwise deficient. Good lighting is still as much a skill as it was when I took a photography class in college in the 70s.
Technology has changed, to be sure. For those willing to work hard at being good photographers, some things have gotten easier, but just like in the film days not everyone who picks up an expensive camera makes great images. That has not changed at all.
This, by POTN Timberspirit ...

Is every bit as beautiful as any shot like it from 40-50 years ago, and it is beautiful because Timberspirit is a
great photographer and has mastered the techniques needed to produce that image.
This (POTN member Lomenak)
Or this (POTN member Scatterbrained)
Or this (by Ryan Sexton
http://www.myuglyphotos.com/
)
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All rival some of the best old B&W work from back in the day. The last one is evocative of Ansel Adams for crying out loud.
The techniques have changed, the basic photographic principles have not, and having that 'eye of the mind' the greatest photographers have always had is no easier today than it has ever been. I liked film and I liked darkroom work. I love digital, and I really never got my chops in it, I'm starting over with it. And having a ball. I would not say it's that much easier, though, just different.
Not being constrained by the physical medium and waiting for processing is a boon, but I certainly would not say any of the photographers above are 'cheating' in any way. And I think Ansel Adams, were he alive today, would have completely embraced digital, and he'd still be making images that blow people completely away.
Anyway, my two cents.