The transfer curve window looks a lot like the multiband compressor window in Ozone. At least, that's what came to mind when I first saw it.
In Ozone, you also have three (optionally four) nodes, defining three (or four) segments, each of which can have its own compression ratio. It's quite a versatile compressor, supporting upward and downward compression and expansion, plus limiting. The graphical UI makes it easy to configure and visualize each channel's behavior.
But we may be confusing ourselves by thinking of TB FIX's controls in compressor terms. Even though it uses familiar parameters such as Attack and Release, and offers a graphical transfer function like a compressor, it's not a compressor. It's an equalizer, and you're not controlling the amount of compression, but rather the gain of a filter.
Maybe that seems like a subtle a distinction, but it's significant. Whereas a multiband compressor adjusts all frequencies within a band equally, a dynamic EQ applies a varying amount of gain depending on where a frequency falls relative to the center frequency of the band. Conventional transfer functions would seem inadequate to describe something so complex.
I guess I'm trying to justify the unusual characteristics of TB FIX by assuming there is a reason, albeit non-obvious and undocumented, for making the transfer curves the way it does.