No, originally before Scott Borchetta sold them to Scooter, Taylor asked to buy her masters back as she knew they were going to get sold and she was told no.
No, that’s not true either.
Basically, Taylor Swift was the star of Borchetta’s label (Big Machine) and her Masters were the biggest asset the label had. When Taylor’s contract was up, she had a choice— re-sign with Borchetta/Big Machine or go elsewhere.
Now, there would be no real incentive to keep her at Big Machine without that asset they had... owning the master recordings. To say “oh sure take the recordings and off you go to make money for a new label” doesn’t make any real sense for the label. They’ve invested in Taylor for 10 years and the master recordings are the payoff of that investment. And if Taylor wanted to leave, they still wanted to asset so that without their biggest moneymaker, they had something to sell. They also want to make it difficult for an artist to simply purchase them because again, they want that bargaining chip.
So, she was offered a deal— sign with Big Machine for a number of years and for each new album you make, you will own another one of your albums. (So, having since put out two albums, she’d have earned back her first two). Taylor declined, and she wrote Borchetta and said she wanted to move forward, she understood that meant losing her masters, but she’d prefer to keep moving with another label. Borchetta promised things would stay amicable.
Things blew up when Borchetta sold the label which included Swift’s masters to Scooter Braun. Taylor’s claim here seems to only be that they were sold to Braun, because she hates him, and she counts this as a betrayal. More broadly, she also seems to argue that artists should have more opportunities to buy the masters, which is fair enough,
A note— Taylor still has legal ownership over her songs (she owns copyright, etc). Master recordings are another element of the way you can own a recording as an asset. She has also never owned her masters... just for all the people who claim they were stolen from her or whatever.