Some throws in 3s are mash throws. Examples are Ken's neutral LP+LK, Oro's neutral LP+LK, Alex's back +HP when done vs a back turned opponent, etc. If the attacker mashes buttons the throw animation will be faster. If the defender mashes buttons they will be released sooner from the grab. Mash throws are rarely used, since the defender can mash out really fast they usually end up doing very little damage. Most chars can (and prefer so) do a regular grab instead, with no mashing involved and guaranteed damage.
The only good mash throws I'd say are Urien's and Oro's. But you don't use those for the damage, but for the launch/knockdown. With Urien you can do his mash throw and as soon as you end that animation you put an aegis. vs Chun li, EX aegis will actually launch and give you a juggle. vs Elena, LP aegis and then EX headbutt will give you an unblockable setup even if Elena quickstands. vs Basically everyone, if you have them cornered with a sweetspot aegis (an aegis really close to them but far enough that it doesn't actually hit) and grab them with the mash throw, they will be launched with the aegis, giving you a juggle.
As Oro, doing his mash throw and then an LP SA2 will give you a setup if the opponent doesn’t quickstand (and the quickstand is tricky since the superfreeze messes up the input). vs Chun and Makoto it actually gives you a crossup unblockable. vs Shotos (and some other chars) it gives you a high/low 50-50 with instant overhead air MK or cr LK, micro walk, close MP