Doesn't score correctly. Playing stones in your own territory adds to the score in the site, which is incorrect.
There are different rules on scoring, Chinese rules don't care about stones in your territory. Japanese rules do. From what the page says, this uses the traditional japanese rules (Stone Scoring)
It uses stone scoring, so it is indeed correct.
Stone scoring is equivalent to area scoring (as used in Chinese rules) modulo a "group tax" of two points per separate group.
It's still not a good idea to play inside your own territory as long as there are neutral points on the board. (Except in more complicated situations where it might be necessary.)