Does the collation of ENUM columns impact their size?

What does it mean when we say that an ENUM has a charset of utf8mb4, versus latin1? My understanding is that the ENUM holds a numeric index (1, 2, 3, 4...) that identifies which of the ENUM values (abc, def, ghi, jkl...). If I use utf8mb4 for an ENUM column, is the column using more storage than it would if I used latin1?