I think you are right; I was being pedantic about "jumping spider" as the salticids, which have those very charismatic, big, front-facing eyes. Plenty of active hunters that jump that aren't "jumping spiders" technically.
By way of a peace offering, here's one from the USA Southwest where I am

Some kind of wolf spider, one of the lycosidae. More deliberate in how they move than a salticid (those guys tend to go in fits and starts).