OK, I've looked through the handbook again. As far as I can tell, there is a VOX circuit on the inputs to the S-band and VHF transmitters on the LM and in the LCRU, but not in the PLSS. So the astronauts heard each other continuously during an EVA.
Note: in space and mobile communications where relays are involved, we comm engineers use the term "forward link" to refer to the entire signal path to the mobile station and "return link" (or "reverse link") to the entire signal path from the mobile station. This is distinct from "uplink" and "downlink" that refer specifically to unidirectional satellite relay links. The forward and return links would each consist of their own uplinks and downlinks.
Here's how the return link worked:
The LMP transmitted audio to the CDR (only) by VHF FM on 279.0 MHz. Their audio was combined in the CDR's PLSS and transmitted by VHF AM on 259.7 MHz to the LMP's PLSS (so he could hear the CDR) and to the LM or LCRU so it could be relayed to earth on 2282.5 MHz (LM) or 2265.5 MHz (LCRU). The relay in the LM or LCRU had a VOX in the line between the 259.7 VHF receiver and the S-band transmitter so we'd hear dead air unless one of them spoke loudly enough to trip it. But the astronauts could in principle whisper to each other and we wouldn't necessarily hear it. During the Apollo 11 EVA this return link VOX in the LM was set too low and that's why their voices often broke up. But they could hear each other fine.
The forward link from the LM or LCRU was VHF AM on 296.8 MHz to separate receivers in the astronauts' PLSSes (they each had separate volume controls). There was also VOX in this path between the S-band uplink receiver and the forward VHF transmitter in the LM or LCRU, plus squelches in those PLSS AM receivers so that the astronauts would not be bothered by uplink noise when Capcom wasn't talking (or if the relay link to the PLSSes was weak).
When I figured this part out a while ago this resolved a question I'd had for some time, which was how interference was avoided between the two VHF AM forward link transmitters on the LM and LCRU, both of which transmitted on 296.8 MHz. The two S-band uplink receivers heard the same signal from earth on 2101.8 MHz (=221/240 * 2282.5 MHz), but Capcom could choose which of two subcarriers to use for forward link voice. The LM listened to 30 kHz, the LCRU to 124 kHz. Since their VHF AM forward link transmitters were VOX keyed, they wouldn't both transmit at the same time (unless Capcom transmitted on both subcarriers at the same time, but they wouldn't have any reason to.)