Is it safe to charge my Elite 2 controller by plugging phone charger to official dock that...

I have a wall charger I use for my Xiaomi Mi 8 phone which outputs 2.4A at 5V and I have the official Elite 2 Charging Dock that came with the controller (see picture below).

Can I safely plug my phone charger into the USB C port in the dock and then
charge my Elite 2 through the dock?

The bottom of the dock says "5V ⎓ 550mA" so I think
the Elite 2 Dock should reduce the voltage and the current from the electrical input so that its output voltage/current matches what is appropriate for the Elite 2 controller. The back of the Elite 2 controller says "5V
⎓ 0.48A" which is equal to 480mA.

However, I'm not sure how effective the dock is in reducing the voltage/current to the appropriate levels. It it's not effective, I'm worried there might be
negative side-effects like reduced battery lifetime of the controller.

I was hoping someone could confirm whether the dock is effective or not. If someone has a multimeter they could use to manually test the output voltage and current of the dock, that would be great. Or any official info on how the dock works would be great
too.

I know a lot of people suggest to avoid plugging a wall phone charger into the dock and instead plug the dock to a PC USB port or an Xbox to be on the safe side. However, what I would like to know is whether plugging the dock into a wall phone charger vs
a PC USB port actually makes difference or not.

Edit:

Previously, I had asked if I could connect my controller directly to the phone wall charger through a USB cable. However, I'm no longer interested in trying that method. I'm only considering plugging the wall adapter into the dock and then the dock into
the controller.

Bottom Side of Elite 2 Charging Dock:





Back side of Elite 2 Controller:





:)