Highly doubt that. If our scouts think that, they're probably lazy. Unless a draft has an unusually high number of misses, the options are almost always way better at 3.
Picks 3-8 vs. Picks 9-14
2020: Stutzle, Raymond, Sanderson, Drysdale, Holtz, Quinn off the board vs. Rossi, Perfetti, Askarov, Lundell, Jarvis, Holloway
2021: McTavish, L. Hughes, Johnson, Edvinsson, W. Eklund, Clarke vs. Guenther, Boucher, Sillinger, Coronato, Rosen, Cossa
2022: Cooley, Wright, Gauthier, D. Jiricek, Korchinski, Kasper vs. Savoie, Mintyukov, C. Geekie, Mateychuk, Nazar, McGroarty
2023: Fantilli, Smith, Reinbacher, Simashev, Michkov, Leonard vs. Danielson, Dvorsky, Willander, But, Benson, Yager
Your odds of nailing your pick and your upside of what happens if you do nail your pick are always going to be significantly higher picking third compared to ninth. Of course you can compare to whiffing the pick vs. hitting on the pick but that's not a fair comparison.
I think trading down holds a significant negative value that high in the draft which is why it's pretty rare. A third overall pick is an expected very high value in basically every draft, and one that carries tremendous upside, which is why "Buffalo" in this scenario is going to be interested. 9th is very much firmly into "cream of the crop has been picked over yet so you're going with best of the rest that likely had some sort of drawback to make them available at this point". You're just hoping the teams picking ahead of you messed it up, or you get lucky, to walk out with a high impact player.