I also think that 'I always wake early' should be accepted. I'm going to report it.
I also thought that "get up" should be accepted, but sometimes I wake up a long time before I get up, so these are indeed different verbs.
I put I always wake early and was marked wrong. Surely it's the same meaning.
reveille is for waking up, as from sleeping, whereas lever is getting up, as in getting out of bed or getting up from sitting at a desk