You have to be on neutral briefly before the red parry attempt, it’s essential. But that’s not hard to train.
The point is that the timing is a LOT stricter than blue parries.
You have a 2 frame window for red parrying special and super moves, compared to the standard 10 frames wndows for grounded blue parries.
That’s 1/5 the time, so you have to be 5 times more accurate with your timing
Red parrying normal moves is 3 frames (this applies to chains or blocked jump-in, red parry the follow-up), a bit more lenient but still quite harder than bue parries.
For some reason I have easier time red parrying fast rate multihits than slow ones like tatsumakis. But if you practice and “get it”, it’s not that hard, just use visual cues and have the motion into muscle memory. I’m definitely not a top player but I can red parry lots of stuff if I need it, it just takes some practice.