Parastatistics, if you have the required background and are looking for info.

The new thing is just that the ones described are guaranteed non-equivalent to normal fermions or bosons.

Oh no. We’ve used math to represent and model the things we’ve observed. Don’t go claiming you’ve observed things just because your math works.

Actually run your darn experiments

Math proves magnetic monopoles can exist. But no evidence and its very possible that it does not exist physically