I worked for an insurance company, and they are out to make money. Where I worked, the rates were regulated by the state, and the company wasn't allowed to discriminate in pricing due to numerous things, such as credit scores (a lower credit score was highly correlated with more accidents). They got around this by advertising in areas with better credit scores, and direct mailing only to those with high credit scores.
My point is that insurance companies will do what they can to save money. Even if you're a safe driver, if there is something else they believe has a high correlation with accidents, such as where you park your car or the areas in which you drive, they may come up with an excuse to cancel (or not renew) your policy.
In addition, they will most likely be reviewing the video of people who do have accidents but got through their net the first time to find other indicators of people likely to get in an accident, and they would (in my opinion) be willing to jump at any correlation if it had a chance to cut their costs - please don't give them the ammunition.