I can't comment on your specific incident, but here is what happened to me last year.
My car got clipped by an 18 wheeler, and I had dashcam footage of the incident. IMO, the trucker was 100% at fault. Immediately after the incident, I exchanged contact and insurance info with the driver, and went ahead to report to ICBC -- including giving them photos of the damage and my dashcam video. The collision repairs portion was fine -- I got my assessment and repairs authorized, and could proceed to get the car fixed. However, the trucker did not report the incident, and I was told I had to wait until the typical period (21 days? 1 month?) passed before ICBC would do anything on the fault assessment part of the collision. Since no fault assignment can be determined, it also meant I had to pay for my collision deductible until ICBC finishes with the fault assessment.
So 1 month passed, and I called ICBC again. They said the trucker still hasn't called, but they will finally get off their a$$es and reach out to him. I called again a couple of days later, and the ICBC person told me they got ahold of the trucker, and the trucker said he will file an incident report soon, so ICBC just let him off the hook again.
I called again 1 week later, and ICBC told me the trucker still hasn't filed an incident report, but they will now do so on his behalf so that the fault assessment part of the collision can proceed. Then I think the very next day, the fault assessment came out, and I was not at all at fault.
I reported my incident online, and throughout the ordeal, I was tracking the status of my claim online as well. From the claim status page (or somewhere among those few web pages), there was a phone number and a contact person that was supposed to look after my case. Now, I don't think I have actually ever managed to talk to that person, but every time I called, somebody was able to look up my incident and kept me up-to-date on the progress.
Sure hope things will work out for you!