your first paragraph is literally the book rules for spell components. You either have a focus/components pouch for mundane components and anything with a gold amount needs to be spent to cast.
Very few spells actually have a costly material component for it to ever come up anyway.
Can't hide somatic or verbal components without being a Sorcerer for the meta magic though. Otherwise you're literally undermining one of the key features of that class.
Spell components exist literally for the reason stated at the end: so the DM can keep in check the power of the spellcaster as needed for the scenario by limiting what spells are available to be cast.