No, as i recall the theory is that the higher mass species (ions) don't radiate significant power due to acceleration. However, the electrons do radiate if they get hot (many KeV), and it has been shown that that case they will radiate away the equivalent of a significant fraction of the fusion power output.* In an accelerator device like the Polywell, as opposed to a thermal device like NIF's laser implosion or a Tokamak, escaping radiation is a problem. One of the debates about the Polywell involves the temperature the electrons will reach, with advocates taking the position that electrons can stay relatively cold as you might imagine.
*This is another reason high atomic number fusion materials present more problems (Li, Boron,...) for practical reactor: for every ion there are even more electrons (in a neutral plasma) to radiate away even more energy.