I would add that the instructions provided with the HATs were to work up to a maximum load with the bullet 0.030" off the lands, and then increase seating depth while maintaining the same powder charge, while searching for the best accuracy. Increasing seating depth while maintaining constant powder charge is also the instruction from Berger. Neither company would provide these instructions if increasing the seating depth increased cartridge pressures (and consequently increase MV). It would be the more dangerous recommendation for load development and increase their liability if someone had a case rupture. If pressure and muzzle velocity increased with increased seating depths, then their recommendation would be start the farthest off the lands and decrease bullet seating depth, working the bullet closer into the lands.
If we were to check with either Bounty Hunter or Lightvarmint, I'm certain both have described cartridge pressure and muzzle velocity decreasing as the bullet is seated deeper into the case, provided that powder charge is maintained at a constant charge weight.
Someone else will sound in here pretty quick - no doubt. With the 338 265gr HATs, my muzzle velocity dropped about 30-35fps as seating depth was increased in 0.010" increments, starting at 0.030" off the lands and increasing seating depth to 0.070" off the lands.