How do these work as far as loading the 1'st stage feeding the volume pot and the 2'nd stage it feeds?
Will the 2 sound or act different?
Everyone has danced around the differences. So let's wrap them up in one shot.
Volume A:
Standard volume control, sends a bigger/smaller signal to the following stage by acting as a voltage divider for the a.c. signal output of the stage before the volume control. Note that the preceding stage always sees the total resistance of the pot to ground regardless of the control setting.
Volume B:
Quirky volume control, a la tweed Deluxe. Reduces the volume by loading down the signal. As the control is turned down, the wiper is closer to ground, tending to shunt some of the signal to ground, while an increasing resistance is present between the wiper and grid of the next stage. Depending on the value of the pot and the Miller capacitance of the following stage, this might shave extreme highs in the signal (but probably won't unless the pot is a very large value and/or input capacitance of the following stage is very high; look at it something like a grid stopper).
But it also has a second effect: as the control is turned down, the resistance seen by the preceding stage gets smaller (this will be the resistance from wiper to ground). This places a heavier load on the preceding stage, which will have a tendency to reduce its gain, with more gain reduction the further the control is turned down. Depending on the design of the preceding stage, this may have little/large effect, and in extreme cases could change how/when the preceding stage distorts. However, in properly-designed circuits (read: most amps implemented as factory-standard), this will likely be a small effect.