Naming is completely random. Double shaft, coaxial, stacked, dual axis... Might be any of those. Sometimes even the pictures are wrong, so you have to find/read the datasheet and compare the descriptions.
It certainly is not random. Inconsistent perhaps, but not random.
Dual-shaft, double-shaft, concentric, coaxial, etc are perfectly correct (though in some cases unusual), because the two (or more) shafts share the same
axis.
But dual-axis is wrong for a potentiometer with concentric shafts. Not a little wrong, very wrong. Dual-axis means having two axes, like X and Y on a milling machine bed. They mean two
different planes of movement.
And indeed, if you search for “dual axis potentiometer”, what comes up is potentiometer-based joysticks, which do indeed detect X and Y position.
Just to be explicit:
axis is not a synonym for
shaft or
axle. An
axis is an
imaginary line that something moves along or around. An
axle or
shaft is a
physical rod or similar item that rotates.
Searching for “coaxial potentiometer” doesn’t find much at all. It’s not really a term that’s used.
“Concentric” is the key word you really want, because that is the word that unambiguously describes the shaft arrangement you want.
“Stacked” is not reliable, because a stacked potentiometer can also be non-concentric, sharing just one shaft. (Like a stereo pot, for example.)