You know, I think you're right. I just went to their admissions page. They have no mention of "being the best", etc. It's all about affordability, diversity, inclusiveness, etc.

I guess at this point the myth is self-perpetuating, and Harvard just lets it be.

They could probably end the lawsuits in a minute if they just up and said "we're not the best and don't care about wanting the best."