Ok.
First off, some folks have noted over the years that the word "distribution" is probably not the best one to use in this context. "Re-distribution" is more accurate. "Leveling" sort of captures the idea of the final "swipe" or "level-off." Anyhoo...
It's helpful to think about why people were "fingerstrike leveling" (another term) in the first place:
1) mass control : either adding mass to the resulting puck by a controlled "smoothing" downward, and/or by removing part of the mass or pile with your level-off, you could, with training and practice, be left with a fairly consistent mass of coffee grounds to tamp and brew
2) lateral density control : because the dosing mechanisms weren't delivering coffee into the baskets in a way that created a fairly even lateral density distribution, baristas would redistribute the coffee to sort of fill-in lower density areas.
Over recent years, there are two espresso grinder features that have become more popular: timers and different dosing mechanisms.
You can, with relative precision, correlate mass of the dose with a duration of grinding time. This can help, if not completely resolve the mass-control benefit of fingerstrike leveling.
As far as lateral density control, some of the newer grinders are delivering coffee more evenly. The prolific Mazzer dosers notoriously throw "back-left," while the Compak, Anfim, modified doser (Elvinator, etc.), and the better grind-on-demand models are delivering coffee more centrally.
Some folks are looking at their resulting pile, untouched, and deciding that it looks good enough to tamp without messing with it manually. With some tapping and/or settling, you can get a fairly uniform (in lateral density) basket-full of coffee that indeed doesn't really need to be messed with. Frankly, messing with it would probably introduce more problems than benefits.
Anyway, that's my two cents on the subject.
The precision of the timers on some of these grinders is in doubt. Frankly, it's the speed of the grinders that I see as the biggest problem: the faster the grinder, the smaller the margin of error to deliver a consistent dose.
All of this, as with most things espresso-related, doesn't exist in a vacuum. I mean that how much you're dosing will determine whether or not you're just mashing your dose up against the shower screen, and the shape of your tamper will affect how the pressure exerted by the tamper piston directs the coffee and the force in its various directions. For the record, I'm a mild-curve-tamper proponent. I think flat-bottomed tampers suck.
