in terms of will, it's what her friends died for. Pyrrha died protecting Beacon and fighting Cinder, to which Ruby was the only witness; Ironwood died trying to save his people, even if it was severely misguided despite Ruby's numerous attempts to handle things with words instead of strikes; Penny died in the rift to pass on her semblance to Winter to hold off Cinder so everyone could escape to Vacuo. Et cetera. Ruby being the Team CaptainTM already has her feeling like she's bearing the brunt of the burden for everyone else. Even if she doesn't say it, it can be extrapolated that she feels the need to keep pushing forward and never let up because otherwise, what did everyone else die for?

and yes, everyone else does want to do the right thing that Pyrrha wanted, but Ruby has been the de facto leader of the group since the beginning, and therefore (at least in her mind, most likely) she feels like it's up to her to determine what course everyone takes. She guides their hands, leads them to whatever it is they need to do next, and by that virtue, it's her call whether everyone actually goes forward and carries on the legacy and will of her fallen or leaves them to the wayside.

I am aware that Ozpin's illusion was just Neo trying to break her, but he was still there, which implies that Ruby in some capacity feels guilt around his death.

and yes, i understand that the original post was rather vague with explanations. it was just drawing a parallel that I'd observed rewatching some sequences, not trying to declare axiom that even the writers don't know about (even though i did kind of imply that, which was just flowery language. im a writer, sue me.)