> half remembered BS
Like you, I prefer to count on my thumbs, using SPICE only to get 8-place answers more impressive than matchbook scribbles.
The transistor is *sweeping* almost zero mA to 2mA.
Using your "26" number, re goes down to 13 Ohms, up to (oh, say) 260 Ohms.
Ass-uming hFE=100, base impedance swings from 1.3K to 26K. Far on each side of your 4.3K simplification.
Source resistance must be "much" less than 1.3K. If source is 1.3K, that spike on the downside is only half as severe, THD significantly less (as Ricardo says, perhaps half). (It does however get much easier to pass through later stages; headroom management gets tough with very lop-sided waveforms.)
And signal level is very low, putting us at risk of hiss. Coming out of "normal" sources, like opamps, it is probably reasonable to use a resistor divider. Assuming we can make 3V signal, we want say 100:1 reduction. Taking "much less than 1.3K" as 100 Ohms for the lower divider resistor, the upper is 10K Ohms, an easy load.
If the source impedance is "much" higher than the high-side 26K, then the Vbe/Ie curve drops-out. Now we look at the flatness of the hFE curve in the small-mA to 1mA area. For most modern transistors this will be super flat, "no" distortion. (Next best thing to common-Base drive, where output current IS input current, just at bigger voltage.)