It's more on Allen Klein who was a scumbag.

"After a lawsuit by the Rolling Stones' former manager, Allen Klein, the Verve relinquished all royalties to the Rolling Stones members Mick Jagger and Keith Richards, who were also added to the songwriting credits. In 2019, ten years after Klein's death, Jagger, Richards, and Klein's son ceded the rights to the Verve songwriter, Richard Ashcroft."

https://en.wikipedia.org/wiki/Bitter_Sweet_Symphony

I just listened to the Rolling Stone's 1965 version:
https://www.youtube.com/watch?v=gdFQtbXAWdc (First 20 seconds at 0.5 speed), and it's not a great comparison

That being said the Andrew Oldham 1966 cover version is a pretty strong match:
https://www.youtube.com/watch?v=9YrllfAMwHI
(I'd also say it's artistically better, with Futurama themes)

Edit:
Woah, okay I'm a fan of Andrew Oldham's Orchestra. They've done a few covers of Rolling Stones songs, and they all sound way waay better than the whiney steeley sound that I find grating about the Rolling Stones