I think you need to read that a bit more closely - they describe running and jogging as high-impact as opposed to walking, swimming, and cycling. These articles are almost always saying something fairly specific.
They specifically mention a combo of the two from one study: "A combination of RE and weight-bearing aerobic exercise (e.g., running, skipping, jumping, or high-impact aerobics) is recommended as RE training provides muscular loading while weight-bearing aerobic exercise provides additional mechanical loading to the bone above gravity."
And they still describe a need for end-to-end evidence for improved outcomes: "For determining the effect of RE on the reduction of fall and fracture risk, further large-scale studies are needed to be investigated."
They specifically mention a combo of the two from one study: "A combination of RE and weight-bearing aerobic exercise (e.g., running, skipping, jumping, or high-impact aerobics) is recommended as RE training provides muscular loading while weight-bearing aerobic exercise provides additional mechanical loading to the bone above gravity."
And they still describe a need for end-to-end evidence for improved outcomes: "For determining the effect of RE on the reduction of fall and fracture risk, further large-scale studies are needed to be investigated."