The place is huge, and it is not a parish church. You can easily go to Mass there for years and never meet any of the priests personally.
That’s quite true. I think the are technically only 2 priests stationed there: the rector and the spiritual director. However, due to all the religious orders that have seminaries or houses nearby, and the nearby parishes those 2 priests have a lot of help.
I know. I go to the Basilica when I am in DC. My son used to hang out with the Franciscans nearby.
But, a decade? Seriously?