Why would one pay the premium for a $500 deductible if you wouldn't file a claim until the damage reached $3K?
Sometimes, the thinking on this is, if using your own insurance impacts your rates, it may be better to not use insurance for "small" things. Note that this is not me stating something definitively at all, I am just passing on what the thinking around this normally is from some, in this discussion.
Also, OP, it was mentioned by some to post the video. I have said this before, but its my strong belief that there is NOTHING positive that posting the video here can do for you. TMC in general, loooovvvvveeees digging through accident videos and attempting to find out what happened (and assign appropriate blame).
You gain nothing, if everything is exactly like you said, except for the approval of a bunch of random people online. To get that, however, you have a bunch of random people examining your video frame by frame attempting to see if they agree with your version of events, and possibly arguing over how much blame you have.
Additionally, TMC is a very large website, so its not out of the realm of possibility that some insurance company picks up on it etc.
Of course, share if you want to, but if you decide to do that, understand that that "horse is out of the barn" with all that entails. We (moderators) are not going to remove discussion around said video, for example, if it gets posted, unless it breaks forum rules by being rude, etc.