The media has covered the writers strike in great detail (read as “gone overboard”). However, many well known media outlets continue to misspell the phrase.
Using an apostrophe in “writer’s strike” implies that the strike belongs to writers (which it technically does). However, the term “writers” in “writers strike” is used as an adjective to describe the type of strike that is taking place, viz. a strike for writers. Technically speaking, an adjective cannot be possessive. Therefore…
…no apostrophe is required. Instead, it should be “writers strike” just as a strike held for teachers is a “teachers strike.”
More details to convince you that this is true can be found here.