While that might be difficult on the existing site (as it would have to include active processing rather than just a page with script), it would perhaps be feasible for users who download the code. They could specify a command line to start a GTP bot, and that could play a game to completion (probably using 0 or very few playouts if applicable).
Some contributors to the OGS forum thread at https://forums.online-go.com/t/a-little-game-i-made-to-practice-counting-quickly/30103/11 felt that it should be possible to use a bit to generate new problems automatically.
While that might be difficult on the existing site (as it would have to include active processing rather than just a page with script), it would perhaps be feasible for users who download the code. They could specify a command line to start a GTP bot, and that could play a game to completion (probably using 0 or very few playouts if applicable).