PathPrefix being greedy?

Noticed a potential conflict with how the PathPrefix on Http Routes is documented. Wanted to see if I was losing my mind or not.

Note: all assumptions are based on the two below Ingress rules.

The documentation here (See the 'Path vs PathPrefix' box) suggests that PathPrefix is greedy.

Knowing that, I would expected thes requests would be routed as follows: (And this matches what I am seeing with Traefik 2.10.5)
GET /aut -> myservice
GET /auth -> keycloak
GET /authentication -> keycloak
GET /authabc -> keycloak

While the documentation from Kubernetes seems to indicate otherwise (see the '/aaa/bbbxyz' rule)

With that, I would expect the following routing to occur:
GET /aut -> myservice
GET /auth -> keycloak
GET /authentication -> myservice
GET /authabc -> myservice

Is the K8S documentation wrong?

Edit: I was curious about the actual greediness of PathPrefix to I tweaked the tests a bit to find out:

Those tests continue to pass which tells me PathPrefix is greedy.

Catch-All Ingress Rule:

spec:
  ingressClassName: traefik
  rules:
    - host: myhost.mydomain.com
      http:
        paths:
          - path: /
            pathType: Prefix
            backend:
              service:
                name: myservice
                port:
                  name: http

Ingress Rules:

spec:
  ingressClassName: traefik
  rules:
    - host: myhost.mydomain.com
      http:
        paths:
          - path: /auth
            pathType: Prefix
            backend:
              service:
                name: keycloak
                port:
                  name: http

Note that with upcoming v3 the PathPrefix() matcher will AFAIK not allow any Regexp (doc).