For Dolphin, they'll perform almost exactly the same as they have very similar single core performance. The Asus Ryzen that you linked is way too expensive at that website for what it is. Get it from Amazon with more RAM and SSD space with a better GPU for less: https://www.amazon.com/ASUS-IPS-Type-GeForce-Battery-TUF506IV-AS76/dp/B0863DW238
These two computers will be similar in Dolphin, but as overall computer the ASUS is better because it has more cores and a better GPU/RAM/SSD. But you're paying almost twice as much for it. If you only care about Dolphin, get the Acer (it'll still be good for PC gaming and general usability). But if you have the budget, the ASUS is better overall. In their price brackets, both are good so it comes down to how much you want to spend.
These two computers will be similar in Dolphin, but as overall computer the ASUS is better because it has more cores and a better GPU/RAM/SSD. But you're paying almost twice as much for it. If you only care about Dolphin, get the Acer (it'll still be good for PC gaming and general usability). But if you have the budget, the ASUS is better overall. In their price brackets, both are good so it comes down to how much you want to spend.