I find the FJR is harder to ride in the upper rpm range. It tends to lunge when transitioning from off throttle to on throttle. I think the injectors completely shut off with the throttle closed to save gas or emissions, and would benefit from a power commander. Maybe it is the drive shaft engaging and disengaging?
The FJR is not great with low speed tight turns and that is where the throttle lag occurs the most for me. You twist the throttle and nothing happens, then you give it a bit more throttle and it takes off like you just hit the afterburner!
This usually happens during a long hot ride and is very frustrating.
Contrary to what others have said, I will tell you that Yes, your intuition is correct. The FJR Fuel Injection system does indeed cut all fuel under certain trailing throttle conditions (such as those you describe) just the same as many other fuel injected bikes do. This "feature" does make the off throttle to on throttle transition a bit jerky. Try as I might, even by adding fuel in the zero throttle column of the PCIII fuel map, I am unable to completely eradicate this behavior. I believe that the cutting of fuel in this situation is not just due to the fuel map, but something else in the firmware. Other people have noticed this behavior as well, so it is not isolated to only a few bikes. Some people are just less sensitive to these sorts of things, perhaps due to the way that they ride.
Anyone that has recently been riding a carburetted bike, where the fueling continues unabated on trailing throttle, will feel a huge difference in the softness (or lack thereof) of these throttle transitions.
Some of the best (and most effective) advice I've heard on this is to try not to chop the throttle fully in any sort of cornering manuever where you are likely to want to roll back on mid corner. You can roll off, but not to the stops, and use judicious trail braking. So long as the throttle doesn't reach the zero position the ECU doesn't seem to fully cut the fueling.
Side note: I had some similar concerns with the off to on transitions on my 2004 Suzuki V-strom, also a fuel injected bike. I found that by adjusting the idle speed up by 500 rpm (from 1000 to 1500) the trailing throttle transitions became incredibly softer. I believe that the higher throttle stop was disallowing the TPS from ever reaching the zero position. I like that kind of performance, and have lkeft it as is. I do not know if this would work on an FJR, but is some food for thought. Maybe this is a way to beat the fuel cutoff on overrun.
Executive version: Yeah, it's jerky OFF to ON throttle.
No a PCIII will not fix that.
No a TBS or TPS adjust will not
likely fix it (see last paragraph... perhaps a TPS mis-adjust will).
No, it is most certainly NOT a sport bike, but it is still a hell of fine bike for what it is. If you can adapt to it, you will have a long and happy relationship.