I don’t think it’s weighed differently but do think the student has to demonstrate that they can do well at the school and be an attractive candidate despite their challenges.
I know a girl with ADHD and dyslexia who was a great student, athlete and musician but bombed on the SSAT. She’s going to Andover. Her school, which has a good relationship with PA, was 100% supportive of her candidacy and they and her essays demonstrated that she would be a fine addition to the school. It was only after being accepted that the discussion about accommodations came up. So I don’t think you’re put in a different pile.
So have a good folder, acknowledge the LD but don’t make it an excuse to be overcome, and make them want you.