Not really. I applied on February 8 but got it after almost a month. By that point already received PPR email on February 28

So no use. It's a misconception that once you order GCMS notes, it triggers your application further. It's a myth spread by people doing business around GCMS.
I agree that US resident applications are processed faster[/QUOT
Congrats on your pr, can you please check page 2 of your GCMS note to see if there is a due date for your file and if the due date correspond to the day you received PR. Thanks