If anything she proves how smart madonna was in reinventing herself. Xtina did reinvent herself but she didn't brand herself well.
For instance, rihanna, Britney, Janet, gaga , missy nicki, Kim etc. Are examples of taking elements of madonna and branding themselves better. It's like she completely changed her image each era and alienated her strong core base.
1st album era she was the pop star that could sing...gain a teen base
2nd album era she was a Dirrty gurl...alienated her core and adults that felt she didn't need to sell sex to have success.
3rd album era she does this throwback album that was somewhat contrived and shifted too far left.
Gh era tried to do this futuristic thing that was forgettable and gave ppl gaga teas...she dissed gaga while she was blowing and a backlash ensued.
4th album era was not good for her. Her sound was dated and she dissed gaga again at the peak of Gagas career. She had the potential to give Britney (for pop), beyonce (for urban crossover), pink (for pop rock punk) and shakira (Latin pop) more of a run for their money but she mismanaged her images. She would have slayed other 2nd album image was more classy beyonce and her 3rd album era more pink pop rock when pink was not at her peak.
Madonna stayed ahead of the curve and managed her shifts with the right balance of her own artistry and tuning into what the public wanted and needed while being memorable and impactful...so short answer, no.