Those kind are overly complicated for their purpose. Something simple like this is what most of us use. :)
https://www.amazon.com/Bassoon-Straps-Seat-Strap-Hook/dp/B003ER8S7S
You should ask the music director at the school though to check the bassoon. Most should come with a hole or clip on the bottom to attach a standard strap, but if it doesn't, you may have no choice but to get one like the one in your link.