Yes, it matters - a writing assignment would be graded on writing quality and style. I would assume the writing professor is not a tire changing expert. You're there because you don't know how to change a tire, so there's no way to know if the information is correct.

It's certainly better than nothing but there could be specific gotchas for your situation. Most common would be needing certain tools or techniques for your model of car. It'd probably be best to either look up the manual for your car online or find a youtube video for changing the tires for your model of car.