The b-tree file system can be installed and used on Zorin 16 (currently, BETA).
You can find the modules necessary in the 5.8.0-50 kernel with
ls /lib/modules/$(uname -r)/kernel/fs/*/*ko
You can use
lsmod command to find and
sudo modprobe to add or remove modules.
All that being said... It is recommended to not try to install brtfs on Zorin OS (Or Ubuntu, for that matter...)
1.) It's simply overkill for a regular personal use computer.
2.) Like the SR-71 Blackbird: The Blackbird flies like an angel at RamJet speed. But slower than that, it is leaky, shaky and difficult to maintain control. In this, brtfs is like that on a standard home computer. It runs beautifully under a heavy load with massive data storage. But under a light load with smaller storage, it is outperformed in benchmarks by ext4.
If you plan on exploring just for the sake of doing so- please make sure you make good backups of your files prior to proceeding. Honestly, it is a lot of tedious configuring for really, no real reward on a standard system.
Now... if you are setting up a server for high traffic- that is another matter.