That is incorrect; the notation (op arg1 arg2) isn't the
surface syntax that is preferred by some practitioners working in that domain. However, it corresponds 1:1 to its
abstract syntax.
There are ways to provide infix independently. That is to say, one person can develop this domain specific syntax, and another can develop or customize an infix engine for it.
In Common Lisp, there is a well known "infix.cl" module that provides mappings like a[b,c] -> (aref a b c), f(x, y) -> (f x y), a + b -> (+ a b) and so on.
This isn't understood as creating a new language as such; it's just a sugar. I think it allows new operators to be added with custom precedence and associativity. Or you can hack it however you want.
I've never seen it used in any production code.
The main purpose it serves is to satisfy people who want to know that it can be done; after that it turns out that they don't actually want it done. They just don't want to work with a language that can't do it.
The only program I'm aware of which actually supports writing mathematics that looks like the mathematics mathematicians write (the actual 2D notation) is Tilton's Algebra: written in Common Lisp.
The various mathematics languages out there fail.
Oh, and not to mention that mathematicians have been trained to work with this:
$\sin{(\frac{\pi}{2}-\theta)} = \cos{\theta}$
That's not such a bad example; I can still sort of see the trig identity in that if I squint my eyes.