FlyOrDie has not experienced any server issues lately and no one else is complaining about these problems.
You write that it only happens on FlyOrDie - but fact is that you won't notice brief interruptions in your Internet connection while browsing the Internet or streaming a film. But you WILL notice them when playing online games. (disconnections)
If all your devices like your phone, work computer, etc. are connected to the same network, it is clear that they are all facing the same issue.
I'd suggest you get in touch with your Internet service provider so they can check your Internet connection.