As an alternative to this 'either/or' scenario, I would suggest eliminating the word "up" from the phrase entirely. The result is perhaps more traditional, but I don't believe the word "up" is necessary in the example phrase, nor is it needed in most cases.
- "Go and wake Joe."
- "The drunk woke upon hearing the door slam."
- "I must wake at dawn in order to arrive on time."
Whether we are performing the waking action (transitive, Ex 1&3) or simply describing the waking (intransitive, Ex 2) the word "up" is not necessary. My understanding is that "up" came to be used because of the associated phrase "get up", as in "I got up in the morning".
One would not use "up" alongside other synonyms for most "waking" situations:
- "Joe rose from his drunken stupor." vs. "Joe rose up from his drunken stupor."
- "I must rise at dawn." vs. "I must rise up at dawn."
In these cases, the former sounds clean and proper, whereas the latter sounds a bit like the subject is rising from the dead or preparing for battle. I'd like to see more discussion on this topic, as I have also done searching outside of this forum and have had a hard time locating other opinions.