Timothy hay is timothy hay is timothy hay, no matter whose name is on it or where it comes from.
That said, growing conditions in different parts of the country result in different qualities of hay. In one year, the hay you've always gotten that was very good may not be not nearly up to snuff. So especially if you're buying hay in bulk, it pays to find out where it's coming from and what kind of growing and harvesting conditions they've had.
But, that hay you linked to comes in small packages, which makes me thing you're buying hay at a pet store. Whatever the brand, that will cost the most for the poorest quality of hay, hands down. It often sits on the shelves in warehouses, and it's dry and dusty by the time you get it.
The cheapest way to buy hay is from a local farmer, if you can find one. I have no idea whether Newfoundland grows hay, or what variety, but you might see what you can find. People who can find hay locally can often get it for $10 a bale.
The next cheapest is to order it online. That will be four or five times more expensive than a local bale, but many times cheaper than what you get in a pet store.
One option you might want to look into is that Oxbow will ship 50 pound boxes to a store near you for pickup. I'm pretty sure they do it for Petsmart, but if not, you might check to see if a local feed store could get it for you that way.