I don’t have a Dixie myself, but yes, it is probably DC coupled for exponential FM and AC coupled for linear FM. The reason is this:
A DC voltage into an exponential FM input just transposes the oscillator tuning without disrupting tracking. (V/OCT is itself an exponential FM input, with the attenuation carefully calibrated.)
So for example, with nothing plugged in and the oscillator going at 100Hz:
Add DC voltage to exponential FM, attenuated to where the frequency is now 120Hz. Then add +1V to the V/OCT input and the frequency is 240Hz – one octave up, as expected.
But if you add DC voltage to linear FM, attenuated to where the frequency is 120Hz, and then you add +1V to the V/OCT input, you’ll have a frequency of 220Hz, which is less than an octave.
Normally you want linear FM to be AC coupled to prevent dynamic FM depth from messing up your tuning. Otherwise, you will need a separate highpass filter to block DC.
But exponential FM can’t be dynamic without disrupting the tuning anyway, so it’s left DC coupled so you can use envelopes/LFOs/etc. to modulate the frequency.