We are honored that you can visit our hotel. What does this sentence mean by light?

"patronage" is an honorific word, "lightness" means "adding color" and "concern" means "visiting".

"Visit" means: "Your coming will add luster to (me)."

At first, it was a courtesy for the host to visit guests, and later it was a courtesy for the store or service industry to welcome customers to their homes.

Synonymous honorifics include "coming", "driving", "falling" and "patronizing".