My Asus charger says

100-240V 1.5A INPUT
19V 3.42A OUTPUT

And then the third party does say the exact same words,

and I can plug the third party charger onto my laptop perfectly as well.

Here is the photo of the two chargers.

Thanks a lot, experts at Linux Questions!

https://kin-phinf.pstatic.net/201908..._211752854.jpg

From the picture, it appears that both are center positive. If I'm reading the picture correctly, they should be interchangeable.

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If the touchpad does not freeze up as I have learned on some chinese chargers for atom netbooks.
Charging will still work. I have the user apply a external usb mouse while on one of those chargers
till fully charged. Then back to the touch pad after charger fills battery. Unplugging charger of course. Charger mates up perfectly except for that problem.

I think I narrowed it down being a RF radio frequency conflict of some sort.
Way above my pay grade to fix with a software repair on a hardware glitch.

So if that bullet don't graze you. You are good to go.

Not only, but also ...
Some power bricks are "smart" (loose usage of the term). Some Dell for example. Won't charge if not the genuine (i.e. expensive) article.
Don't know about ASUS, but I've been bitten by this. Sort of thing you'd expect from Apple, not other vendors.