Adjustments when you have the half-kill button

[Siegmund]

Quick review for those who don't play in kill games: when you win the pot, a 'kill button' is pushed to you along with the pot. If you win a second pot in a row, you post a double-size blind to the third hand and the betting limits are doubled.

Most of the discussion I've seen in the past about kill games has focused on how to deal with the third blind on the kill hand (and, in places where it applies, how to deal with the kill blind acting last preflop.)

Does anyone have any thoughts on what adjustments to make after you win *one* hand?

My first thought is that if I win a second hand I'll immediately be putting one big bet out in the middle of the table... so during the second hand, I have artificial reverse implied odds - conceptually thinking of the pot I am attempting to win as 1BB smaller than the pot I see on the table in front of me. (Needing 5:1 instead of 4:1 to call a 4-flush on the turn, for instance.)