First responder, here, and I guess I could have added more detail.
Yes, you have it right. No the Logic does not have an auto-trigger feature. And even if you scripted something in to "press a button", it wouldn't do anything close to what you are asking.
1. You are manually selecting a number of samples that are collected after each trigger. So it would not repeat/refresh on the next trigger, it would continue to collect data until the manually selected sample size has been reached. Then your scripted button press would finally reset the trigger.
2. Triggering is very basic on this device. It triggers on a preset hi/lo of the number of signals you are monitoring. It doesn't trigger off of sequences. So autotrigger might show you nothing but gibberish, anyway.
3. While the new data is being captured, you will be looking at a white loading screen that is obscuring your last 0.1 Hz "refresh."
4. Each time you capture data, it reverts to a default time base. So you won't be able to "zoom" in/out or scroll left/right to the data you are interested in seeing "refreshed."
The upside to a USB logic analyzer is the # samples is huge. In your example of figuring out which axis is which, you could record for 30 seconds while you fiddle with it. Scrolling through the data, after, to figure out which direction is up. Or, you can hook up your oscope and LA at the same time.
Anyhow, I don't see how you are going to see much on a scope, either. Even if you got a clean triggers, wouldn't you just see randomly changing binary digits, looking like a solid VDD and VSS with a bunch of vertical bars between each bit, on all axes, while you are messing with the accelerometer in the slightest? If your accelerometer has an analog output, yeah, you could see it on a scope. You won't see that on a LA.