Those monolights are not capable of HSS (or TTL or any other 'smarter' flash feature), it is a manual only flash. You will have to upgrade those lights to get that functionality. It appears that you would need the QT or Wistro series to get the HSS functionality.
The fact that the lights can have a duration as low 1/2000s has nothing to do with the sync speed or your shutter speed. For instance, if you wanted to shoot water droplets, you can use a 5s shutter speed in a dark room and set your lights to fire at 1/2000s to freeze the action. These are independent settings.
Even if they weredid support HSS, the 622 triger would not be compatible with them except as a 'dumb' trigger and receiver.