Problem with 2 button throws in 2D fighters is it becomes nothing more than a panic button. Eat a jab? Throw. Walk up. Throw. Block an attack? Throw. Do a deep jump-in kick? Throw? Get knocked down and waking up? Throw. Then there's the fact that basic throws beat out just about everything if you try to hit your opponent out of them. It's retarded, just look at 3S and SF4. You have to constantly check for throws, making the entire game into one big guess and win game, and when you're thrown, you're put into knockdown state, leading to yet another guessing game. It's dumb.
I think the KOF games and Garou handled throws the best. I mean I've seen matches of 3S/SF4 where 50% of the damage dealt is thru regular throws alone. It's not that throws are "safe" in KOF and Garou, it's that you can't pull them out whenever you want unless you're at point blank, and also unlike the later SF games, KOF (And Garou) actually have hitstun and blockstun. You need to really setup your throws in KOF.
In 3D fighters though, it's different, throws aren't instant and you can actually see the start-up animation to them, allowing you to more quickly react, plus there is extremely specific range and timings where a throw will connect, unlike a 2D fighter.