Omnibug developer here - by default Omnibug will preserve the requests until one of 3 things happens:
The user closes the developer tools, tab, and/or browser.
The user clicks on the "Clear requests" button
The user has disabled persistent logging across pages
So you can see all of the events that are shown in the session, as long as the user hasn't done any of the above. Additionally, you can then export the requests (and filter to just show Adobe Analytics) to see all of the events that are firing.
I know this is already marked as answered, but I thought I'd throw in my feedback too!