Does battery power affecting gaming performance?

I've been thinking of buying the Win Max 2 or the Win 4 for a while, and the portability is the most intriguing aspect of it. With normal gaming laptops, the performance takes a pretty big hit if you unplug the laptop and it's also not recommended. Is it the same case for the Max 2 and Win 4? Or does the performance stay the same on battery power? This is essentially the biggest question I have about the device