I think you can "generalize" in the way that members of the species are in principle capable of such things, not that they'll necessarily do it.

Also I think the idea of animals having "personalities" is itself still contested, so additional observations that support it may help.

I think it's like the incident with the crow Betty. It didn't show that all new-caledonian crows were super smart, but it showed that they are in principle capable of deliberate, creative problem-solving and are able to employ it if circumstances align just right.