As I work my way to a Universal OpAmp Spice Model that you only have to feed the subcircuit 10-12 numbers from the datasheet, I observe that LTspice struggles with what I would consider ordinary hyperbolic functions (bounded, all derivatives exist, are finite, and continuous)... making a straight line out of a transfer curve with soft limiting on each end... and churning... churning... churning... mid-range.
Experimenting I find that setting Tools/Control Panel/Spice to "Alternate Solver" makes it all work properly.
I'd recommend using the Alternate Solver for any circuit that LTspice struggles with, or in my particular case, produces phony output results... in fact I'd recommend Alternate Solver always. ...Jim Thompson