You say Elizabeth tolerates her mother, which is true, but that doesn't mean she respects her mother's mind, or forgives her mother for her mother's behaviour. We will have to wait and see I think to form a view on Elizabeth's view of her mother. But I don't think that Elizabeth tolerating her mother tells us much about Elizabeth's general attitude to proud people.

Also note that Elizabeth tolerates Darcy, despite him mortifying her pride. She talks to him at the Lucas Lodge party in chapter 6, she enters into a conversation that already involved him at Netherfield (chpt 8).

Unless Elizabeth lays aside the all the ideas about how a lady in Regency England was meant to behave (eg living with your parents until you married), she does have to tolerate even proud people.