You may not grasp just how large the Common Crawl dataset is. It's been growing steadily at 200-300 TB per month for the last few years. I'm not certain how large the entire corpus is at this point, but it's almost certainly in the tens to low hundreds of petabytes. (This is significantly larger than the capacity of the entire Sia network, for example.)

Storing a dataset of this size and making it available online is not inexpensive. Amazon has generously donated their services to handle both of these tasks; it would be foolish to turn them down.