No, I'm saying that the majority of users burn DVD's and not BD-R's.
If you're the only one doing something, who do you expect to help you?
Looking at your log, it's impossible to say where the problem lies - be it with the media or with the drive... but the error comes from a problem between the drive/firmware/media, the software doesn't even come into it.
You'd have to burn more discs and see if they all error out. If they do you'd have to buy another spindle and then try those. If all discs error out at all speeds the drive supports then it's likely to be the drive.
Of course BD-R are still very expensive so figuring this stuff out isn't going to be cheap.