Of course not.
However, seductive false hope can be amongst the cruelst things to perpetrate on innocents and unawares.
To the degree that this encyclical gives any RC or anyone else even a hint of a convincing notion that globalism can be moderated, softened, civilized, . . . or worse, sanctified
then the good Pope ends up playing the enemy’s destructive game.
I do not see where that is playing into the hands of the evil one but rather testifying to what we should be but are not. Darkness does not overcome light; Light overcomes darkness.
Concerning the evil in this world, Christians, all of us, must stay alert, always keeping the Great Commandment, so that we do not become like the Scribes and Pharisees Jesus rails against in Matthew 23, permitting something God made for good to become perverted or corrupt.