At the risk of confusing the thread, 'open' (the concise* form of 'open circuit') means without a conducting pathway, i.e. an open-circuit coil has broken somewhere in the winding, or an open-circuit transistor isn't going to conduct any more, in any circumstance. Such a condition only shows in a continuity test by the absence of a reading, or sound, as there's no connection.
I'm sorry to have been so curt yesterday, but it was chucking-out time at the public library. I'd missed the disclosure of the relay failing.
This may sound fanciful, but if you'll pardon a railway analogy; current leaves the 'depot', the +ve terminal of the bridge rectifier. Fuses 1, '2' and 3 are similar to main lines. Track '2' negotiates some points at the relay, which allows it to reach either the 3 solenoids on 'A', or the flashbulbs on 'C'. From the other side of each coil (or group of bulbs) is then its own branch. Each pair of branches, e.g. 1A and 1C, re-join on the aux power board using a pair of those large diodes. After this each branch/circuit has its own drive transistor, a signal as it were, which when On (or green) allows current to complete its journey to ground. The depot also runs some service or 'engineering' lines, in particular to control the relay/points; a line solely to pass through the relay winding and its transistor. For 25v circuits, the transistor is the one listed in the chart, on the Cpu/driver board, while for 50v circuits it's an additional transistor on the Aux Power board, though this transistor is in turn controlled from the Cpu board.
With this relay, I see now how D 23 (and D 12 for that matter) came into the discussion. It's connected in parallel across the relay winding, as diodes used to be connected across coils. If, as we suspect, the winding is open-circuit, checking for continuity would have the same results as simply checking a diode, i.e. a continuity in one direction, but not the other.
* careful choice of alternative to 'short', in this situation