Personally, although this would mean lower cost for me, my first reaction is still NO.
In most cases, new girls often come in fresh, young, therefore my argument is heavily based on this premise.
This industry is different from most of the others in one aspect. In most other industry, if not all, youth means inexperienced, and therefore usually gets paid less. However, in this one, youth vs experience is a very subjective matter. While still some clients prefer experience, I'm sure a lot of people still prefer youth to experience. Think about it, if it is a very hot young girl, without any extremely bad review, I'm sure a lot of people still would like to TOFTT. At this point, we would be grateful if the girl is not charging a higher than usual price.
Also, for the girl, if she starts at a lower price, and raise it later, this might hurt her business in an unexpected way.