Yes, that was the idea. However, the problem remains that in practice incidents aren't always atomic. Nor does an individual alert necessarily correlate to only one incident. What's more, in places where the Incident Command System or equivalent isn't universally applied (which is to say, in reality, almost everywhere) it's not unusual for the same incident to have multiple names/designators in different disciplines or different jurisdictions.
There's also a problem of motivation... does an alert originator see a benefit for them in adding this information (especially if it requires going back and updating?) Given the vanishing rarity of use of this field so far, that seems doubtful. Making things easier for indexers like Google doesn't appear to be a high priority for most alert issuers.
And ultimately there's the question of what "same incident" really means. Are multiple presentations of a disease separate events or all part of one event? Is a spot fire thrown off by a larger blaze the same incident or a different one? Ultimately these are administrative decisions made for administrative reasons, and they're coupled only loosely, if at all, to the alert authoring process.
This is a case where I'm thinking the obvious solution may be the best. Rather than rely on alert originators to make the connections for us, simply associate alerts that intersect or abut in space and time. That can be done downstream, automatically, and isn't contingent on whether the alert originators cooperate.
Need Jake for discussion for this. We also have an issue for this to change from free form to computer process version (see Issue 19). Original intent was to contain space delimited identifiers. Goes to difference between message and event (incident relates to event). Need to properly define these terms.