The short answer is no. It is more important that
the coffee puck is evenly dense than that it is evenly thick.
The long answer is a bit complicated: in general the best
coffee puck is the one with even density and even thickness.
This ideal, however, is not easy to achieve. Traditional tampers
with stiff base in a double-dose basket will give you even
thickness easily (due to the flat surface). This comes at the
cost of even density, though, which baristas try to avoid by
preparing the coffee grounds prior to tamping with various
techniques like stirring, leveling, etc. so that the heap of
coffee conforms to the limitations of the stiff tamper.
Of course, this approach has severe limits, easily to recognize
in case of single-dose baskets, where even density is very difficult
to achieve and needs years of practice (long-time baristas can
do it by adjusting the height and form of the heap of grounds
in just the right way).
This is also the reason why single-dosing is seen as inferior
and most cafes and professional baristas almost always use
double-dose baskets.
With the idroprep you trade even thickness for even density.
The puck even in a flat double-dose basket won’t necessarily
have even thickness everywhere but even density is easy to achieve.
The same goes for single-dose baskets, where the gel-pad
automatically pushes further into soft parts of the puck and
will compact also the deep parts evenly.
Single-dose baskets give very good results when prepared with the idroprep!
The physics of laminar flow (which is what you want to have when
extracting the coffee) state that the flow or throughput depends
much more on the width of the channels through which the liquid
propagates than their length. For example: in the (simplified)
case of a round pipe the laminar flow through said pipe depends
linearly on its length but to the fourth power (!) on its diameter.
Let’s look at a coffee puck for which due to variations in the
distribution of the grounds the idroprep produced a central spot with a
height 5% less than the average. Water flow through this part
will then be about 5% more than average. In case of a traditional
stiff tamper, however, this 5% variation in initial volume would
translate to something like 20% wider channels between the coffee grains
(because the volume of the grains is not affected by tamping
and makes for the largest part of the compressed coffee puck).
Flow through these 20% wider channels would then be about double(!) the average.
It is easy to see that the detrimental effect of uneven density
is much more pronounced than that of uneven thickness.