There is no world in which it makes more economic sense for her to do those three performances than sell the show on national TV to millions of eyeballs and generate the kind of mass-market press that her performance elicited.
The live broadcast of the parade in general is pretty awful, in that it asks actors to get up early (after doing two shows the day before) in order to dance on asphalt in the cold while wearing skimpy costumes (at least the Funny Girl cast got coats), but it is an incredibly important platform to sell tickets. What would you have them do?