Here is my summary of what I'm seeing w/ the beta firmware on a DS1054Z (unlocked). This post provides some clarity regarding some of my previous observations, as well as what I've seen in other posts.
#1: Start-up issue. This does seem random. Yesterday I thought it alternated, but now it seems to be random. It also does not matter if the USB stick w/ the firmware update is installed or not at power up. I have had the panel freeze in both cases. On a power up where the panel freezes, the scope continues to operate based upon its current settings. If I disconnect the probe, the trace disappears on the display, and the trigger stops (in normal mode). When I reconnect the probe, triggering continues, and the trace appears on the display. This indicates that the scope is not "locked up" per se, but it no longer responds to panel input.
#2: Perceived random button press issue. This is a variant of #1. I have seen this as well. As soon as I adjust anything on the scope after power up, it acts as though I am pressing buttons randomly in rapid succession. My scope usually ends up on the help display, and then no longer responds to input. Power cycling resolves the issue.
#3: Trigger offset jitter issue (5us/10us, or 33us, etc). The firmware patch, at least for my hardware version 0.1.1, seems to fix the offset jitter entirely. I have tried to varying the trigger offset from 0,5,10,20,33, and 50us, and I see no trigger jitter. Others claim their scope jitter now appears at something other than the previously observed 5us. I cannot recreate this. I've attached my screenshots for these cases.
In short, this firmware update fixes all of the tigger issues from my perspective (AC trigger, AC/DC trigger offset). However, it brings with it a new issue of the front panel not responding. It is worth mentioning that I have not experience a time where the scope was working and then locks up. It is either one or the other upon power up.
Attached are my screen shots testing the trigger offset jitter at various delay offsets, tested with a 20MHz can oscillator, 1X scope probe (Rigol) calibrated.