Here are some more observations from my configuration. I'm beginning to think the disconnected-connected problem has nothing to do with EDID.
My monitor has a VGA cable and is connected to the video card with a DVI to VGA adapter. If I unplug just the VGA cable, regardless of going through the KVM switch or not and regardless of the EDID override, I don't hear the disconnected-connected sound. Only if I unplug/replug both the cable and the adapter at the same time I get the sounds. Again the KVM switch or the override do not make any difference, so that would indicate the "connected" status is not based on the EDID.
If I first unplug just the VGA cable, and then the adapter, I get the disconnected sound, but if I then replug just the adapter, and then the VGA cable I don't get any sound at all. The DVI to VGA adapter has the hot plug pin 16 permanently wired to the +5V pin 14, so the hot plug pin is definitely involved.
I did some googling and found comments that indicate the connected status is determined by the hot plug pin, and detecting load on the signal pins, not the EDID. That would explain why I consistently get the connected-disconnected sound only if the unplug/replug both the adapter and the cable at the same time, regardless of the EDID-stripping KVM.
So, perhaps some monitors are making the inputs temporarily float when you turn on the power. If you are then using a DVI cable, the combination could make the overly anxious W7 think the monitor is temporarily unplugged. I have no idea what could possibly make it happen if the monitor is already on. In any case, using a VGA cable might help as a workaround since the DVI to VGA adapter makes sure the hot plug pin is always "hot".