The time in between rankups will still be significant @Scuba Steev.
In regards to the amount of activity score needed on the House Host Tracker that can still be up for discussion. Altar mentioned increasing the amount of points needed but I think it's a fine starting line in regards to a situation that might arise in the way you put it. I don't think there will be any real "competition" for points and I think there is enough for everyone to attain on their own times. 1 activity score = 1 command, so if you really think about it in like a 1.5 months/2 months time frame for a rankup