Just the opposite for any reasonable seating depth; enough reduction will of course increase pressure. Notice the concern is quite valid in handguns. Setback on loading into the chamber in a semi-automatic pistol will indeed blow cases and worse. But a little knowledge is a dangerous thing in reloading so it does pay to ask.
In fact in rifles the effect of increased seating depth reducing case volume is overcome by the free bore effect of a longer running start on the lands - see e.g. Weatherby or 9x23 in handguns - This is quite pronounced in today's non-toxic or monometal hard bullet; which are harder to engrave. Hence the advice to start clear of the lands. See writings by John Barsness for an extended discussion over time and lab testing. Brownell's aging book on pressure factors from Handloader magazine and reprinted paper and electronic is a useful resource but Barsness and friends is probably more accessible today. Google will find it with Barsness Denton and others in an authoritative discussion.
Fortunately, Dr. Brownell was curious about this issue a few decades ago, and experimentally answered the question.
In the graphic, note that COL is along the top of the graph, and seating depth is along the bottom of the graph.
As you increase cartridge length, available volume increases. This reduces pressure.
As you increase cartridge length, you also decrease the distance to the lands. When the bullet engages the lands, pressure behind it increases until the bullet is engraved.
These two effects work against each other. At some points, one wins, and at other points, the other wins.
What you get is maximum pressure with either very long or very short COL, with a dip in the middle.
Denton