Does Curly Hair Go Straighter When Cut Short?

Because I look at some people with really wavy hair, and when it is cut short it looks straighter and fits perfectly into place with the rest of the hairstyle.

The reason I'm asking this is because my hair is naturally quite curly but I hate it, and I want to cut it short without having to have it chemically straightened.

Thanks everyone!
xxx

Suggestion:

it usually curls up more. The weight of the hair pulls the curl out some. My guess would be that the people you've seen have had permanents or something, and got the haircut to get rid of the results. That or they had something more done than just a haircut and style.