What's the name of the one on the bedding?

That flag is also called bed tail cloth.

Usually put in a hotel room, its function is

One: decorative function. Generally, hotel sheets are white. Put an emotional bed flag and you will feel better when you go in to see it.

Two: protection. Some people have the habit of kicking the quilt. You can avoid it a little with the bed flag, but this doesn't seem to apply to me, because the quilt in the hotel will be too heavy for me to pull.

Three: health function. Sometimes when I stay in a hotel, I will eat in bed, but I am afraid of soiling the white sheets, so I will put a bed flag under it.

However, in fact, the bed flag is an American thing, because Americans are used to wearing shoes at home and usually lie in bed without slippers, so with the bed flag, this can be avoided perfectly.