Peak rank icon priority

now I have 575 points, at the peak I had 584 and I received the radiant rank, but now the radiant requires 630 points. If I have more than 584 points, will the site display that my lifetime peak is still a radiant, despite the fact that I actually have an immortal in the game, how does this work?
if I get more rr than my peak it will show radiant or immortal?