Rush Dog and Snatching are now targetted skills as those old patch notes mentioned.
In addition, they now also reset the companion’s state upon use, so using Coursing / Retrieve / Growling before them will remove the companion from those states, effectively killing off all of what synergy they previously had with each other.
So yeah, if you’re using Coursing / Retrieve, you can’t use Rush Dog for additional DPS unless you want to stop pinning down your target.
Note that they will still fail (and cause the state reset) if you’re targetting something outside of the companion’s range.
So if you’re intending to reset to Hunter for PvP, take note that you won’t be getting any DPS as one unless you want to sacrifice your control abilities.