I worked in fraud management/investigation in the insurance industry for several years and I took a wider interest in the subject. Versions of this scam are quite common. The accepted wisdom is simply to ignore them because the scammers would gain no advantage by circulating the footage to all your friends, even if it existed. Indeed, it would increase the risk of detection.
Internet scams depend on sending out thousands of emails, and focussing attention on the small number of gullible people who respond. There should be no need even to tape up the camera lens as the scam works with gullible people without the need to actually have the film. If they had it, they would almost certainly include a clip in their first email to add weight to their first approach.
On the wider subject of bizarre coincidences, if I can be allowed a plug, this is one of the threads in my recent novel, Bridge of Otherwhere. Each coincidence may be easy to explain away, but when there are so many coincidences, does it mean that something strange is happening, or does it just mean that you have developed a heightened awareness of coincidences?
In real life, as with alleged precognitive dreams, I think the answer is that you simply don't notice the overwhelming majority of times there is no coincidence, or no apparent precognition. Also, how far are we as individuals able to stretch the circumstances to fit our preconceptions without realising that we are doing so? Do we think we are seeing "matches" when in reality we are constructing them with hindsight?
Example: "I was only listening to BB King the day before he died." As I listen to BB King about once a month, the odds are around 1/15 that I would be listening to him either on the day of his death or the day before he died. I conveniently ignore the dozen or more times a year for 20 years that I listened to BB King and he didn't die, or the fact that I also listened to 20 other artists a month who didn't die.