Well the term resignation in its purest sense implies an undirected personal choice to quit
Whereas being fired in its purest sense implies having no choice of staying
But in the real world many if not most “resignations” are someone being given the choice TO quit when they dont want to or face being sacked AND publicly hummiliated in the process
So in this case as with many others both terms would be correct, the person would be sacked if they hadnt made the choice to quit so its not really a resignation in the true unforced sense of the word, its merely someone with NO real choice opting for the less publicly embarassing of the two options available to them, so its not really much of a choice at all
So, one of the news teams could have heard reliably that the person was being forced out and in effect sacked or more acurately “gottten rid of”, but the other one could prefer to just report the official statement that the person CHOSE to resign of their own free will with no pressure being applied
There can only be one official statement, but both versions can be totally true too