Yeah... that's a very silly way to look at it. Either let something be a damage type or don't. If a fire elemental has a sword made of fire and it swings into you (or claws, or whatever)... historically it does fire damage. If you want it to be fire and slashing, sure, whatever.
Similarly, that "firehose" of water isn't much different from a "dragon breath" of <insert anything>.
Magic missile deals force, not force + bludgeoning, or force + piercing.
Immunity to damage types gets dumb under the way they've been handled for over 30 years. If you want to redo all of the damages to address that, that's potentially interesting...
My point is not to create additional damage types.
My point is that attacking a fire elemental with fire is like shooting a human with a water gun.
Pressureless Fire will not harm a fire elemental or a creature from the hottest parts of a fire based plane.
The base attributes of most spells will not be powerful enough to be those monsters or the harshest reaches or fate based resistance.
Fireball might harm an imp but the local pit fiend lord bathes in magma. He feels fireball is more like "room temperature"ball. Then he downs the last of his cobra venom martini and spears someone through the chest.