Basicaly, Facade deals double damage while poisoned and paralyzed but doesn't double while burn, here's a example
I told my friend to poison my Mega Salamence with Chansey and then he switched out to Rotom-wash, mega mence's Facade dealt around 40% of Rotom HP in damage.(70 * 2(double damage since mence was statused))
In another match, that same rotom used will-o-wisp to burn Mega mence and then Facade dealt around 20% of Rotom-wash HP in damage.
(70 * 2 * 0.5(Facade damage doubled due to Mence being statused, but got halved due to that status being burn))

I checked Bulbapedia, Smogon and even damage calculator to check if that was supposed to happen and it shouldn't, for some reason, Pokedata says burn halves facade damage turning it into an effective 70 base power move while burned, you may have picked the wrong site as reference for your moves

https://bulbapedia.bulbagarden.net/wiki/Facade (Bulbapedia)
https://www.smogon.com/dex/sm/moves/facade/ (Smogon)
https://pokemonshowdown.com/damagecalc/ (Damage Calculator)

https://pokemondb.net/move/facade (PokeData) (OUTDATED INFO)

Thanks for the report. Was able to confirm this. Looks like the the damage reduction from being burned is cancelling out the extra damage from Facade having status, but it should be ignoring that as of Gen 6. I've passed this along to be sorted.