All map projections distort Earth’s surface in some way. They attempt to preserve some properties at the expense of other properties. A conformal map preserves shape at the expense of area. On the other hand, an equal-area map preserves area at the expense of shape.
Conspiracy theorists incorrectly claim that maps are designed to lie to us about the real area of countries. In reality, equal-area maps exist if we need a map that preserves area by sacrificing accurate shape.