Does the power brick matter when charging USB-C devices?

Yo everyone. I'm trying to understand how USB power works with batteries, hopefully this is the correct community to ask. We have so many different devices that can be charged with USB-C, yet all the power bricks and power banks have different voltage, amps, watts. Can I use any USB-C brick or power bank with any device and battery and it must intelligently never draw over the limits of the power source?

I thought that USB-C is made for this yet I can read reports that people damaged their Nintendo Switch because of a power brick. How careful do we have to be when charging our phones, tablets, laptops, gaming devices? What exactly to look out for when deciding what to plug in where? Thank you very much for any replies.