Julian,
I would be interested in what aspects of flight safety another publication covers that is not already covered on numerous web sites such as AAIB, on track, CHIRP etc.
If you've never read company safety publications, you'd be very surprised. With such a publication being company-specific (and of course usually subdivided into fleet-specific sections), they are usually more relevant and detailed than organs such as CHIRP. Being hard copy, I'd imagine that it's a lot easier to throw in the flight bag and read on the crew bus, or in the cruise, or myriad other locations where a computer is not suitable. I'd wager that considerably more would read such a publication, than would specifically browse aviation safey websites.
Also, many incidents/observations are recorded and captured by a company reporting scheme that would have great benefit to those in the company, but have little or no relevance to the wider aviation community. Those lessons need some way of being distributed, perhaps with commentary and advice.