Use a Steam Dryer hose for washer fill hose?
You absolutely can use these hoses. In fact, I would recommend them as they appear to be high quality and durable.

The only drawback with any slight restriction would be that it may take slightly longer for your washer to fill, small price to pay versus a burst hose.

PS- you should still turn off the water supply valve(s) whenever you will be gone for more than a few hours.