I'm not at all convinced this is caused by the wrong jet or needle position. If that were so, I would expect the hesitance to be consistent when running at high power, rather than occasional. And switching to reserve and back again doesn't fix a weak jet or needle.
No, this to me sounds a lot more like fuel starvation. I would investigate the tank breather and the fuel tap/filter before messing about changing jets. As the others said, if it came from Hitchcock's you can be very confident it is correctly jetted.
There is one other possibility: sometimes a weak spark can seem very much like fuel starvation; that is, the bike runs OK most of the time but hesitates at large throttle openings. The wider the throttle, the higher the spark voltage needed at the plug. So, although I doubt this is the case, just bear in mind that possibility if you get no joy with the fuel system.
As you know, it is almost impossible to diagnose a fault via writing, so I'm sure we are all feeling frustrated that we can't get our hands on the bike and start fiddling!
