What additional steps might they take ?
It can't be monitored for at the substation - all they'll see there is a change in loads that probably is insignificant relative to the total load.
Monitoring the PEN-true earth current might give a clue - but ONLY if consumers downstream of the PEN break do have effective earth rods so as to be able to create a significant earth leakage current. And this would need careful management so as to avoid nuisance tripping. It would also be negated (or at least significantly reduced) in the presence of multiple PME earth points - since I learned a bit more about it, I've started noticing PME earth conductors down the side of poles.
Realistically the only place it can be monitored for is at the last property on a circuit or the last tap off in the street. That's a lot of points to monitor, and would be prohibitively expensive.
As an aside, some years ago at a previous job, our local DNO (forget what they were called back then) asked if we'd host a monitoring box - it plugged into the mains and a phone line, and would phone home if the power went off. Presumably they'd investigate if they got several calls - one call might just be an internal issue in the property.
Indeed, one of the benefits (cost savings) used in the business case for smart meters was the ability to monitor supply voltage at many points - and thus improve network management and fault responses. Unfortunately, it seems that the people who created the spec for the meters didn't talk to the people who would be using the measurements - and the result is that the voltage measuring ability of the meters is not sufficiently accurate (or it might not even be mandated, can't remember now) for the required purpose. AIUI, last time the business case was re-evaluated, this benefit was still being counted
How can they
NOT have an effect ?
If we exclude the "very large resistance so ineffective" issue, because that's much the same as "no earth rod" really.
So lets start from the situation with no earth rods. If a PEN break occurs, the neutral and MET in each downstream property will take up a (dynamic) voltage (relative to earth) which is dependent on the loads attached to each phase.
Basically, the phase currents must sum to zero as there's no neutral to carry the imbalance.
If we start with the simple case of all resistive loads, then the current in each phase is proportional to the local P-N voltage - a phase with a larger set of connected loads will see a reduced P-N voltage until the load current reduces (and the other phase currents increase) such that the phase currents sum to zero. The extreme situation is a load on one phase, and nothing on the other two - the loaded phase will see zero P-N voltage while the other two phases will see 415V. At the other extreme, the loads are all equal, so the neutral will be roughly at earth potential and all properties will see a normal 240V supply.
Add in non-linear loads like SMPSUs and it gets quite complicated. As the P-N voltage reduces, the load current will increase - so in a network with all such "negative impedance" loads, the tendency would be for the neutral voltage to shift rapidly towards one of the phase voltages until the attached loads shut down due to undervoltage.
Now lets introduce one or more earth rods. Now downstream of the PEN break there is a N-E connection, and thus a connection via the earth to the DNOs earthed neutral system. This will be a complex path involving the substation earthing arrangements, any PME earth points in the network, and any customer earth rods upstream of the PEN break.
We no longer have the requirement that the phase currents sum to zero as there's a (relatively high resistance) path for the neutral current. So assuming we have imbalanced loads, the phase with the highest load will still see the lowest P-N voltage. But the effect will be less due to some of the imbalance returning to the substation neutral via the earth.
Lets take the example values mentioned above - 10 houses and a 20ohm earth rod each. Excluding the resistance of the connecting cables, that's a 2ohm connection to earth. Lets say the phases are imbalanced by 10A, that 10A will try and return via the 2ohm earth, raising the local neutral to around 20V relative to earth. So one phase will now be at something like 220V and the others will be correspondingly increased (by a bit less than 20V - you need to draw the phasor diagram).
So adding the local earth rods has turned a "will blow up lots of stuff on 2 phases and maybe set houses on fire" event into a "incandescent bulbs burn brighter and pop but otherwise nothing newsworthy" event.
Clearly the actual effect seen in any event is going to depend on the combined (parallel) earth rod resistances, and the nature of the loads attached at any point in time. And loads will be dynamic - someone putting the kettle on will change the situation significantly.