I'm no expert in the field, but it's my understanding that those features are why modern devices allow people to hear in noisy environments. Feedback reduction especially, which is not easy to deal with (tl;dr, the mic/speaker are mechanically coupled, with a poor seal and loud enough environment you get feedback and the DSP has to compensate).
And in terms of battery life, I don't know. I do know that most battery powered audio devices with DSP throw floating point math out the window from the get-go, and I haven't seen a job opening for DSP in hearing aids that didn't mention fixed point math in awhile. I don't know of any processors that fit the bill there however, those things usually have a proprietary IDE/debugger/flasher you need to pay for.
And in terms of battery life, I don't know. I do know that most battery powered audio devices with DSP throw floating point math out the window from the get-go, and I haven't seen a job opening for DSP in hearing aids that didn't mention fixed point math in awhile. I don't know of any processors that fit the bill there however, those things usually have a proprietary IDE/debugger/flasher you need to pay for.