Coming in a bit lately
(I wanted to see the most of answers by the more experienced ones)
I have a question: what was originally the purpose of the tap?
As for my own to-tap-or-not-to-tap, I have a little story to share.
When I first learned anything about espresso preparation, I learned to 'tap with minimum force to dislodge coffee from the inner wall of the basket' (guess who wrote it... or maybe you should remember

). So, literally, I started doing it.
Then, after having read a bit more, I started wondering if I do achieve the aim, that is the 'dislodging...', because all the loose coffee grounds above the puck were still there after my 'minimum force tap'. So I started to tap with more force... only to find that there is absolutely no reasonable force to make the grounds go their way down onto the surface of the tamped coffee (the unreasonable force just spoils the whole puck). So, I decided to give up tapping. Yet I didn't give it up for long, you see... my shots are more likely to channel when I don't tap:
1. dose->wdt->light tamp->tap->30pounds tamp->go: better then
2. dose->wdt->light tamp->30pounds tamp->go,
but I did not remove the tamper from the basket after light tamp in the 2.
So, I thought for a moment and concluded that maybe Schomer wasn't thinking of the loose grounds above the puck on the basket walls (or not only about it)? But anyway, after watching some videos (one with fancy four taps by one HB-elder and one with some forty taps

by an all-laughing woman) I decided to have a try of tapping twice... and well, it works: no loose grounds above the puck, no side channeling.
OK, so that's the story; don't forget my initial question
And disclaimer: I don't mean the no-tap way is wrong. Maybe I should for instance remove the tamper from the basket after the light tamp before the 30pounds tamp to have better results with no-tap?
Now for the no-tamp zone: I have no experience with no tamp, but what strikes me is this: if I would like to try the no tamp, then I would have to downdose very much to avoid compressing the loose puck with the dispersion screens.
And for the importance of the tamp: with grind off, floating dose and poor distribution truly there is nothing to tamp (unless you want to have a go pressing down a bathroom scale

), but once you have these three down in your basket, then when you screw up the tamp, it's all gone (OK: maybe only for me learning to tamp was not the easiest part).
EDIT: I typed it in before reading Matthew's post. Well, I'm capable to do a lot of typing!
