Do you miss something on BrainKing.com and would you like to see it here? Post your request into this board! If there is a more specific board for the request, (i.e. game rule changes etc) then it should be posted and discussed on that specific board.
IMCK - It could be either way - make the first turn (and any auto-pass turns) part of the current time limit, or after the first, put back to the main time limit. (But the point would be that the player who CAN play will be able to play the game, instead of sitting on the opponenets board waiting for them to pass.) Personally, I would see after each "Submit", it would be an end to the turn so full time would be put back on, but the game would immediatly be put back on the persons game page to be able to play their next turn.
And in some games, I have seen a player not be able to make ANY moved for months at a time in that game. (Yes, just like now the player will be able to play in other games.), but its not really a matter of playing in a faster game - but being able to play in ANY game. (I don't consider "passing" as playing - it basicly saying "Hey, let the other player play again." - and not actually playing themselfs.) If a player still want to take full time to play their move, then they can still do that. It is NOT the point of auto-pass to make player play faster - but letting player actually PLAY in a game.