All agitation methods produce results. But the development time will differ. More agitation = less time.
By default I use the agitation method from a film datasheet. If the datasheet for HP5+ says that it takes 7 minutes and 30 seconds to develop it in ID-11 at 20C, then I use the agitation method from that same datasheet. Otherwise your agitation won't match your development time and you will have to find your own time that matches your agitation. That's annoying.
In practice this leads to me using Ilford's agitation method simply because I only shoot Ilford films, they assume this agitation method for all of their calcuated times, and those times produce great results, so have this method dialed into my Heiland TAS machine. This gives me predictable & consistent results. I also found that Ilford datasheets are more reliable than Kodak's that tend to be inconsistent and sometimes even contain errors.
Basically, B&W photography is Ilford's domain. Don't let Kodak or JOBO or a stranger on Photrio pollute your thinking