One of the dictionary entries the OP cited elaborates on the difference:
> [][]――
In short, (1) they both mean the same when used for "twisting" something; (2) If the twisting is done with force, can be more suitable over ; (3) In some cases only is used, e.g., , ; (4) has a wider variety of meaning, e.g., (I create a haiku poem); (5) A similar word sees even more limited usage, e.g., .
So basically your understanding is fine.