@mjaneczek, this is a cool project and a nice take on yet another error tracking service. We built this feature into Airbrake back in 2012, https://airbrake.io/blog/extension/airbrake-chrome-extension but we didn't get enough feedback to get it back into local development. Projects such as https://github.com/charliesome/better_errors have been a great addition to the Rails error workflow.
It's a tough business to get into, but I would suggest talking to the large players and having a standard for exception replays. I wish you the best of luck, feel free to reach out and keep up the great work.