Yes. You can even see it in the video you shared. I was just at the dealership but didn't go for a test drive to confirm. Will likely try in a week or two when I go for booking (though I don't know if they'd have a test drive unit with a low SoC).
Again yes. Almost every electric car looses performance when the battery falls below a set threshold. Usually between 10%-25% depending on how the manufacturer has set it up.
It's just physics. You don't have enough voltage to drive the motors at high RPMs, so you'd have to significantly increase the current to make up for that. But there's a limit to how much current the wires and circuitry can safely handle to BMS typically limits current output.
Doesn't matter if you're a small EV like a BYD Seagull or a Tesla Model S or a performance oriented Porsche Taycan. You gradually loose power and performance as the battery depletes because of a combination of low voltage, current, back EMF etc.
When a manufacturer quotes performance figures for an electric drivetrain, they quote it at the near full State of Charge, and even then only for the dedicated Launch Control mode if the car has one. This isn't Sazgar or GWM doing deceptive marketing. It's the standard practice followed by manufacturers all over the world, and frankly, I had assumed most consumers would've known that. Obviously that's not the case so they need to do a better job at communicating this.
But all that said,
The H6 HEV already works this way with an even smaller battery pack
And I've never heard of (or experienced) any performance issues. So the H6 PHEV is more than capable of sustaining bursts of power even after it drops from EV mode because it still has about 25% larger reserve battery to work with that can power the front or rear motor when needed.
Edit: Btw I didn't have enough time to play with the vehicle settings at the dealership today but it seemed like you can set a limit for the minimum battery level after which it switches to HEV mode (unless I completely misunderstood that menu).
So in theory, if you really want to have lots of reserve battery, you can set it to like 50% and it would start behaving like an HEV after that point.