I'm not sure if other digipots are like this, but with the MCP4151, which I'm using, the datasheet says that the "Resistor Terminal Input Voltage Range (Terminals A, B and W)" has a min voltage of Vss and max of Vdd.
I was skeptical about that since internally it's just a resistor ladder, but when I fed an audio signal through it slightly outside of Vss and Vdd, there was a bunch of staticky noise not present when I use a mechanical pot instead. I don't understand why it matters what the input voltage is as long as it doesn't melt the internal resistors.