For starters, you gain some point when you lose. Not entirely sure how many, but it's not 0.
Then... this kinda defeats the purpose of streak, since the longest you can have is 4, and as it stands you only get labeled at 3, which means there is only 3 and 4 streak.
Whereas I think adjustment should be made to sage, somehow I doubt this is the right way to go about it.
Also, this would also allow a group of player to forcefully eject anyone they choose from the battle, just attack and refresh 4 times in a row between them. (or, the first 2 could fight "normally" and lose, so as not to rise su*ion. This increase the success rate of the 3rd and 4th, who will purposely lose the game via refresh before the targeted player realize what is going on)