Monstera deliciosa is an epiphyte that can also live as a hemiepipmyte. That mean in nature it almost never starts its life planted in the ground. It starts life in the cracks and crevices of rocks, other trees etc and the roots attach to the host. Then the aerial roots grow down the host, into the soil from above. And the body of the plant grows upward, toward the sun. It also sends roots around the host as anchors. And yes, these roots are also capable of absorbing water and nutrients, but they develop protective sheathing for lack of a better word that helps harden them off and protect them since they are out in the air.
Growing Monstera in a pot is growing it as a hemiepiphyte. That means starting out in soil and attaching to a host, like a tree, a rock face, or a totem, and growing up, toward the sun.
You can let it grow what I refer to as 'floppy' without tethering it to anything, but it will look better and grow better if attached to a support. That gives the aerial roots the chance to fulfill their natural function. And when you water it, you should always also soak the aerial roots.