Caveat that I have no idea if this is legit, but for those who are tech-y:
(If you decide to try this, you might want to open the queue again in a separate window.)
If you Inspect Element right above where it says "Approximate Wait Time", look for code like this ("warning-box") where it says "progress":
View attachment 568625
The "width: 62%" might be how far along you are in the queue. Maybe.
If you overrule the css to activate that box, it looks like this:
View attachment 568626
Again, no idea if that data is accurate.
PS: I opened this queue at 7:45am.