Well no, because those references aren't there.
First paragraph: Dolly's legacy and impact on the world, how much of a loss she is to everyone.
Second paragraph: Taylor uses the pronoun 'us' a few times as she expands upon what Dolly meant to the public, to other artists, to her fans - this is all about Dolly as a role model to millions. Taylor is included among those who look up to Dolly, but very clearly here as part of a much wider collective. Taylor counts herself among the other fans who are mourning Dolly. It would read very strangely if Taylor used 'they' instead and didn't include herself as one of many who admired Dolly.
Final paragraph: Dolly as talented artist, philanthropist and inspiration. Starts off with Dolly's talent and her literacy work and charity, finishes with the only use of 'me' in the whole piece when again Taylor counts herself as one of many girls who grew up dreaming of being like Dolly.
Seriously, have you ever written a eulogy for example? You would always talk about the impact the deceased had in their life on you and all the other people who loved them. Talking about how profoundly another person shaped your dreams, encouraged you and inspired you is paying tribute to that person, not making it about yourself when you put it in the context - as Taylor does - of how they did the same for others, how their life made the world a better place and how their death leaves behind a wonderful legacy along with the grief.
Taylor’s tribute is graceful and respectful and a completely normal example of this kind of text, and to read self-absorption into those words is very strange. Very much not in the spirit of Dolly, who I am sure would have really liked what she said.