I'm sure a BitTorrent gateway can exist, but I'm wondering why it doesn't seem to "be a thing." I've never seen one used, nor do I see an obvious public one when searching. Whereas IPFS gateways are so mainstream that even Cloudflare runs a public one.
It's because of the kind of content that is shared. BitTorrent serves a lot of content you are not allowed to redistribute, so having an open gateway immediately puts you at risk of aiding the distribution of content. But it does work, someone even made something native to browsers so browsers themselves can share content: https://webtorrent.io/. There are even fuse "gateways" to make it native to your computer and pretend the files exist locally: https://github.com/search?q=bittorrent+fuse&type=repositorie...
IPFS doesn't seem to be used for that kind of content much, it seems to be targeted more towards web-native content (html pages, images, that kind of stuff). It's probably safer for Cloudflare to run this.