There's a difference between being fired and being made redundant usually. (Although perhaps US terminology is different, in the UK usually "fired" refers to dismissal, redundancy is a different process with more compensation and a process employers must follow.)
The equivalent phrase here would probably be "laid off" but the definitions are a little fuzzy. People say "laid off" as a polite euphemism for fired and people use "fired" when they're upset about about being laud off.
Would you want to hire someone that live tweets everything that goes on at your firm? Most companies would rather not risk being held hostage (so to speak) by their employees if the management decides it needs to shut down a department or stop offering a product.
How did live tweeting that you're being fired get turned into "everything that goes on at your firm?"
I should have had the word 'potentially' in there.
The only reason I can think of that it'd be a terrible idea, is the company might then choose to be dicks about how they treat you post firing, regarding negotiations on benefits or any number of smaller details.