Dear Ujm,
That is a great reason except for the minor details that this is well before the advent of seforim; the dreidel wasn’t introduced to the region until much later; the Yivanim weren’t searching for them learning Torah privately; and they would have killed them simply because they weren’t hellinized,
Aside from that this is a terrible reason to play dreidel. We should just learn because that is what they wanted to do, but couldn’t.
So perhaps one answers the other. If the ideas behind your reason were true, we would learn non-stop on Chanukah and not play any games. But instead we spin the dreidel to demonstrate that it this legend is false.