Yes it is indeed possible. But do (please) ask yourself, do they benefit from exaggerating the threat as much as possible? The answer of course is yes. Same story with the threat from terrorism - the bigger the threat, the bigger the budget.
These guys are like a partner who you've discovered cheating not just once but twice. And who is now telling you that "oh yes my job needs me to stay back late at work on random days". Liars are going to lie, cheaters are going to cheat. It's in their nature.
You can believe them if you want and that Santa will bring you some presents on the 25th. Me, until confirmed otherwise I will treat their every statement as a self serving lie.