Like anyone would really notice.
The last time they struck was in late fall, toward the beginning/middle of the season. It took a few weeks to burn off the episodes written. It had a pretty big dent on people's viewing habits; a lot of people just stopped watching. Even American Idol (then the most popular show on TV) was hurt, even though it wasn't affected because it didn't use writers.
This time around, though, they chose to strike in May. That's the end of the TV season, when most shows are already going into reruns anyway. The season finales are already written. If they wanted to pick the worst time to go on strike, that's it.