Not a jumping spider - as you've correctly noticed, that is Oxyopes, a kind of lynx spider. Calling it a jumping spider is like calling wolf "a fox" - both canids, but completely different and pretty far genetically. Both lynx spiders and jumping spiders actively hunt ("run and pounce"), but that is convergent behavior, not common ancestry. Jumping spiders are much smaller (typically couple millimeters), they move like they are teleporting and their most distinct feature are their extra large frontal eyes, with remaining 3 pairs of smaller eyes. Lynx spiders are the opposite - they have 3 pairs of bigger eyes arranged on top of their head like a hexagonal crown, and one pair of front eyes that are extra small, looking more like nostrils:

Here is the article with photos of jumping spider in it for comparison:
@quochuy/jumping-spider-macrophotography