Update: Relayed lights. Highbeams stay on. WTH?

[S J & I Santoliquido]

O.K. When we last saw our hero he was struggling to understand why, after
relaying the headlights on his A6, his high beams would, once being turned
on, not go out until all the headlights were shut off.

Now after several suggestions from fans, some of them quite useful, we have
more information.
The high beam relay triggering voltage, formerly known as power to the high
beams, is not measuring 0vdc when the high beams are off and low beams on.
It is measuring 7.5 vdc with the relay removed (open circuit), and 4.2vdc
with the relay installed (under load). When the headlights (high and low)
are off, it measures 0vdc, with 0 ohms resistance to ground (relay removed),
as expected. With Headlights on, and high beams turned on, it measures
battery voltage, ~12vdc.

So; I believe that the headlight control unit (that double relay looking
thing on the aux relay panel) is bleeding enough current to the high beam
line to maintain the relay latched, but not enough to latch it.

The question is; is it a bad controller? Or is this normal behavior for this
controller, which requires some type of work-around?

Any thoughts gladly parsed.

TIA
Steve