That doesn't sound right, even stock tune. Out of warranty you'll want to install the "Penner Tune," which is free here compliments of @Penner and will GREATLY improve (unlock) the performance of the machine. But most riders new to the Rocket are pretty happy, at least at first, with the stock performance. Something must be off, as it's the early throttle that is mostly restricted. More info and maybe a video and someone here will help you figure it out.
Yes, the power that is there but restricted by the factory. The ECU has limitations in the throttle settings in all modes so you don't hurt yourself. You can gain about 30HP and a few more foot-pounds torque by removing those throttle limits (also raise the rev limiter). There's an excellent Youtube video on "unleashing the beast" to show you how to do that using TubeECU. It doesn't require fiddling the fuel maps, only setting the throttle openings to 100% for whatever mode you want to adjust (SPORT/TRACK is where I get full power). If you don't have TuneECU you'll need a OBDLink LX (or MX) and an android device (phone, tablet, or pad) to download the program and then pay for a license (about $28 US). One word of caution is do NOT reset adaptations unless you want to lose cruise control. If that happens run the switch check and you're good to go.
