Can all laptops with usb c ports charge with a USB C charger?

I'm in the market for a new laptop, and I've noticed most of the newer laptops have at least one usb C port. Some if them like the MacBook, Razer Blade Stealth, and Chromebook Pixle use the port to charge the device, while others like Dell, Acer, and Lenovo have usb c ports (along with other typical ports) and a dedicated charging port. My question is will the laptops with dedicated charging ports also charge through their usb c port? My goal is to only have to carry around one charger for my phone and my laptop.

Laptop with dedicatedb charging port can be charged only through this port.

Did you contact the makers of the laptops involved for any information on that?