It creeps me out a bit that now with the DLC sometimes she dosen't complain (unless its about Frea).
I think its Hearthfire Steward dialog that sometime triggers, if you trade items instead of her sarcastic "I am sworn to carry your burdens" comment you sometimes now get "how may i serve you my Thane?".
Also Dragonborn adds a lot of dialog for her she'll make comments about Solstheim locations and some new things for combat like when fighting Riekling "I don't know whether to kill it or pet it." And the best one "What next, carnivorous rabbits?"
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Its when shes fighting a Riekling and their pretty weird so i guess its like "Little blue gremlin perverts? Whats next carnivorous rabbits?" I hope its a Monty Python refrence too.
In case you haven't played Dragonborn yet i call them perverts becuse there lairs are usually full of Dibella statues and many, many copys of The Lusty Argonian Maid.
Oh yeah, next to one of the copies, there are alot of linen wraps and under them are a spell which makes things come to you.
To much information... If you start a new game and play Dragonborn again it is worth taking Lydia with you but some of her new dialog is on her wiki page.