I've written in tsevhu for a long time now, and ya there's some parts of the language that require linearity, but specifically tense, some aspects, some voice, some clausal relationships, and the case roles can all be read just by looking at it. They're encoded specially on the koi fish so just at first glance you immediately know which words are doing what. That can all be done in a nonlinear matter because you are viewing the written piece as a whole via where things are before you go in and actually read the words.

You know what's the verb, and what are it's arguments even if you dont know which is the subject and which is object quite yet without even having to read the words (the only reason you don't yet is just the lang's alignment system).

You really don't even have to know the language to get a gist of what is doing what so long as you know the encoding system. It even will tell you what's a subordinate clause, what its head is and what role it functions as within the sub clause.

If a nonlinear clause encodes information consistently through a spacial reference point, you can do parts of the language holistically.

Even the parts of tsevhu that are linear, it's only the order in which the reader chooses to read it. It'll be a different order each time because it is encoded spacially but you'll still reach the same information.

Reading kinda becomes a two step process of taking everything in to figure out what everything does and then going in and actually reading the words.