Keep it, for all the reasons already mentioned.
I would like to try one modification though ... after the 80-minute siren goes off, just keep playing without any breaks. No coin-toss, no restart from halfway, just keep the play going exactly as it was. In a drawn game the last two or three minutes (or longer) are basically played as though it was golden point anyway, so it's not going to advantage any team one way or the other.