I'm not even sure why there is this bias against chemical or fission power plants. What problem does it cause that they need to be blocked?But, accumulators are not antimatter or fusion plants. It stores up the energy/particles. So I agree on the batteries.
T5 has this whole "overclock" thing. They've decided that power plants sufficient for J drives are too large for putting on a starship, so ship power plants are actually tiny versions that can "overclock" for a few seconds to increase power output by a couple orders of magnitude. Something only fusion & antimatter plants can apparently do.
Which still comes down to a why bother? question. You only need an overclock mechanism if you decide you need to rule out other power sources.