If this diagnosis is true though, that all GLaDOS comments are legitimate, then the last few lines of the song have a more sinister undertone. Maybe the "personality cleansing" you did may not have been quite as successful as GLaDOS hoped:
Portal - Song Lyrics:
...
And believe me I am still alive
I’m doing science and I’m still alive
I feel fantastic and I’m still alive
And while you’re dying I’ll be still alive
And when you’re dead I will be still alive
...