Let's count down from 100, and agree that whoever gets to post 1 (in correct sequence) is the winner. No-one else post after that. You can post a count-down number more than once, but not consecutively.
Wait a sec, Fuji. According to your rules, the person who posts the count 2 cannot post the count 1 afterwards, and thus cannot win. So nobody will post the count 2, and thus nobody will win, just as in the original game.
93