I thought the biggest reason of the switch to DC heaters vs. AC heaters is a change in tube design that introduced more noise using AC heaters in modern amps. AC heaters are easier, so it's natural they were used in the early days, and in the even earlier days you had to since the heater was integrated into the cathode (? - think that's correct).
It's always interesting to read about how X was done for some kind of sonic performance, when the reality is it was just a convenience of design or for something fairly mundane, though critical, like noise.
It's simply for noise. And mostly for preamp tubes, not counting the PI position. Power tubes don't benefit from DC heaters, as far as I know.
I think what you're talking about might be DC
elevated heaters. This is something different. And it's usually done to reduce the heater-to-cathode voltage differential in cathode follower preamp tube positions. Mostly in Marshall-style circuits. The cathode follower can be hard on preamp tubes, causing modern tubes with spiral filaments to die quicker.
The heater circuit's center tap is typically referenced to 0V (chassis ground). When you reference the heater's center tap to some higher,
elevated DC point (like 45v DC, typically an already filtered/smoothed node), the AC heater circuit "floats" on top of a DC-referenced voltage instead of 0V/ground. This
elevation helps reduce the strain on tubes in cathode follower positions. It
can help reduce
some noise, but it's really not intended to do that and the heaters are still AC.
Think of a sine wave. It's oscillating from +3.15v to -3.15, centered at 0v.
When you
elevate the heaters, 0v is no longer the center reference. You reference the wave to... let's say +45v DC. Now your "center" is +45v. So the 6.3v
AC heater circuit oscillates from +48.35v
DC to -41.85v
DC, with 45v
DC being the new "0". The AC wave is still only 6.3v, it's just floating higher.
Because the new reference is +45v, the DC voltage
differential between the cathode and the heater circuit is 45v lower, thus lowering the stress on the tube. The maximum voltage differential is listed in the tube's data sheet. So it's easy to calculate if you need to elevate the heaters and by how much.