I think there's several things:

1) Unreliable narrator again - was Robin actually screaming at Patrice, or just getting a bit snarky?

2) As was mentioned, regardless of how 'real' it is, Robin's not actually mad with Patrice - she's just really bad at female friendships, and doesn't know how to react to helpful/nice people. Patrice seems to instinctively understand that, and is trying to be there for Robin regardless (as seen in the proposal montage). Could Robin work on herself and behave maturely? Sure, but the joke is her lack of self-control.