In other words, the longstanding conventional wisdom (at least as presented in the media) is exactly what this study set out to vindicate, not the opposite, like the press release claims.
It's possible that this study is a significant step up in quality from existing ones, and it's possible that their method of considering past BMI is new and interesting, but the framing of it as the first to challenge conventional wisdom is pure marketing hype.
I use quotes, because I personally only believe in body positivity for matters that are beyond control - eg disfigurements related to genetics or trauma. No-one should shame anyone - or feel shame - for things they have no say on.
Matters within scope of control should be addressed, however. At the very least not lied about and promoted as healthy, more importantly.