No, it will not, at least not British ones.
I phoned over 10 of them.
They will only cover if the FCO say you can't go. Ie if your country bans you from going, you can get your money back.
If the OTHER country bans your entry but your country says you're fine to go, then no money back.
It's shocking and is why I am having a total panic attack in case all of my travel this year fails as I've saved so much money to travel loads this year.and made so many sacrifices for it and it might all have been for nothing.