Contact Asus and ask them what the other headers are rated for. That's the best thing you can do to be safe, as they don't appear to list this kind of information anymore.
On some boards, the headers are all 2A; I remember some Gigabyte Aorus boards are set up like this.
On other boards, the liquid cooling headers are 2A, and all the others are 1A.
My board(X299 Prime Deluxe) has: a 3A W_PUMP+ header, 2A AIO_PUMP header, and all others are 1A, but this info wasn't all in one place; I had to poke around for it:
-The W_PUMP rating was just there on the product overview page.
-The rating for the non liquid cooling headers was found in the manual.
-The AIO_PUMP is more an educated guess based on the technical specs of hybrid coolers and motherboards that did have the rating for this header listed.
But yeah, you can do 2 hybrid coolers in one system, though in your situation, you'll probably have to run one of the 2 pumps directly to the psu via SATA power - the connector should be provided in the cooler's packaging.
You won't be able to control or monitor pump speed of the device using this connection though.
Not having the ability to monitor pump speed isn't much of a downside - there's other ways to ID pump failures.
Not having control over the pump speed is worse, IMO. It's best to set a static speed for these than to let them adjust dynamically; easier on the motor. The same rule applies to fans.
The following is subjective input based on personal experience - do not take it all as factual:
I have such a setup, but I'm having 2nd thoughts. I did it to sate my curiosity and to see if I could sustain the overclock my 7820X was binned for by Silicon Lottery[ultimately couldn't, so I ended up dialing it down].
Now that my curiosity is sated, and my experiments(OC'ing, delid and direct die mount, lots of different fan & cooler configs) are finished, it's a pain in the butt.
Fractal Celsius S36 on the gpu, Alphacool Eisbaer Aurora 360 on the cpu = too many bloody screws(44)... it's become very tedious for cleaning, which I prefer to do every 2-3 months.
Come the next PC cleaning, I'm going to put the NH-D15S back in there.
Hybrid cool one, air cool the other. Hybrid coolers on cpus is overrated; isn't as productive to the whole system like gpu hybrid cooling is, especially when running 300w+ gpus in one's PC.
Big gpus hit those kinds of power rates regularly, cpu's don't. Part of the reason some cpu's get as hot as they do have to do with the darn IHS; they protect the cpu, but reduce cooling efficiency. Gpu cooling is already on-die.
Gpu hybrid cooling is unfortunately not as convenient to set up, which is one of the reasons cpu hybrid cooling is so popular.
... best stop here before this essay gets worse.
Again, subjective input based on personal experience.