If you do not do anything else when you have a work injury, you should at least tell the Doctor that you hurt yourself at work.
The first thing the Arbitrator will look for in the medical records is your explanation of the accident. If it shows that you hurt yourself at work your case is much stronger.
If you tell the Doctor you hurt yourself at work, or you noticed your symptoms increasing while doing work activities then the Doctor is more likely to support your case.
There is something about having that connection in your medical records that the Arbitrator can rely on, and the Doctor feels more comfortable and willing to express a stronger opinion in your favor.
Even the insurance company is more likely to extend an offer when they see the work injury history in writing.
It is always nice to have an accident report right after the accident, and to have witnesses, but at least you have control over what you tell your doctor. And you can also tell your doctor about the work and injury connection on more than visit.
Remember to tell your Doctor about how you got hurt, you will not regret it.