FMGC,
It is utterly wrong that any airline should insist on a report for a GA. It might be that the cause of the GA is worthy of a report.
A pilot must never feel that should press on with a landing just because they do not want paperwork to do.
Sometimes not having the stats is safer than the act of obtaining them
From the last line of your quote methinks that your company may have a problem with its 'Just Culture' and the level of trust of company management.
We report GA's confidentially to our Flight Safety Dept and include whether it was weather related/ATC related/unstable approach etc. The "Management" do not get any details. This contributes to the Safety Assurance of our SMS as repeated instances of GA's at certain airports or at certain times of the day can show whether there are issues with an individual ATCO's performance or training (we're also responsible for the ATC at our base), a poorly designed approach and so on. A go-around may be the pilot's decision, but that does not make it the pilot's fault.
If a pilot feels he'd rather risk the passengers, crew and airframe by landing when he should go-around because he has such a big issue with a few lines on a page, what other paperwork relating to the flight could he not be bothered to take seriously?
Our pilots know the reasoning behind the report, trust the organizational culture and believe that sharing their experience can enhance safety for all their colleagues.