That's good optics, but can you actually do that though? Like you can declare "I claim responsibility!", but in real-life, doesn't a court have to actually find you liable?
Basically yes, it's effectively just a promise, but statements like this could probably be used as evidence if it came to that. Your insurance would talk to their insurance and tell their insurance to talk to Volvo. Volvo would settle or maybe fight the case but they pinky promise not to try to push it back to you or your insurance.
https://www.thedrive.com/tech/455/volvo-accepting-full-liabi...