Absolutely. This is one of the reasons I take my clients to competitions. If a woman gets a 100kg deadlift in a mainstream gym, she'll almost always be the strongest woman there. She becomes slack, takes it easy.
Down at a black iron this woman will look to her left and see a 16yo girl with 110, to her right and see a 49yo mother of four with 140, look back at her 100 and say, "Well, I guess that's a good start."
So I take them to competitions so they can see these people much stronger than them, they return to the community gym with a sense of where they are and where they could be, this keeps them driven to do better. It inspires the women, a lot of the guys it kind of deflates them though. The male ego is a delicate thing.