Your question about Invulnerable troops got me thinking so I ran some tests using fully traited Dooms.
Medals and the event have nothing to do with it. Mana Burn works against Invulnerable troops as it is coded. Now I agree that if Impervious is immune to Mana Burn, Invulernable should be too and should be looked into.
I crashed a fully traited Psion into the Dooms a few times from skull attacks as well use his abilities. In all cases the Dooms did not lose their mana nor did Psion gain any from a skull attack. So preventing Mana Drain is functioning properly.
So if the intention was to always allow Mana Burn to work vs Invulnerable troops then it is working as intended. But if Invulnerable was supposed to stop Mana Burn, definitely a bug.