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SN74AHC14: Question about Input Voltage when VCC = Powered OFF

Part Number: SN74AHC14

Is my understanding of the Abs. Max spec in the Datasheet correct, that:

1) Input Voltage is spec'd as -0.5V ~ 7V.
This means there is no protection/clamping diode between input pins and Vcc, yes?
If there was, usually the datasheet specifies the max input voltage as VCC+0.3V or something, indicating the diode drop.

2) It should be fine to apply an input signal to the device, with Power OFF (VCC = 0V), yes?

3) What if Power OFF is simply VCC connected to a high-Z node?

4) What sort of behavior would you expect if a signal was applied while VCC was powered down?

EDIT: I found this document: AHC/AHCT Designer’s Guide

Figure 11 shows Vo / Io relationship when VCC = 0V.
Is my understanding correct, that the outputs are High-Z with VCC = 0V, even if Inputs could be 3.3V or 5V?
Then, if there is some voltage applied to Vo externally, Figure 11 is showing how much current will flow into, or out of, the pin given some voltage on the bus.
Right?

Thanks,

Darren