The Babylonian Talmud (Tractate Shabbat p.127a) argues, based on the incident just prior to this one in Parashat Vayera (the same three angels' encounter with Abraham Aveinu), that providing guests with proper hospitality is of greater merit even than receiving Hashem himself:
Rav Yehuda said that Rav said on a related note: Hospitality toward
guests is greater than receiving the Divine Presence, as when Abraham
invited his guests it is written: “And he said: Lord, if now I have
found favor in Your sight, please pass not from Your servant” (Genesis
18:3). Abraham requested that God, the Divine Presence, wait for him
while he tended to his guests appropriately.
I would also recommend reading this excellent article on Hidabroot.com posted on Vayera, stating:
By writing the whole incident in full in the Torah, God wanted to
reveal to us a great principle: The importance of being hospitable to
a bunch of heathen idolaters is greater than receiving the presence of
We therefore see that one should treat even random passersby, regardless of their religion, as lords, i.e. offer them hospitality and act as their "servants" and that this is so important Hashem is happy if you take leave of Him to do so.