FYI, 99% of all power amplifiers (integrated units or not) derive the headphone output straight from the amplifier outputs, by simply putting a 200~600 ohm resistor in series.
Therefore, those amps will drive any headset without any problem as they have the full power amp available driving a high-ohm load (series resistors + your headphone impedance).
And for that sake it really doesn't matter if your headset is 16 ohm or 600 ohm; the series resistors already crank it up.
The sound is very much the same as comparing those amps via speakers.
As where separate pre-amp units may have a dedicated headphone amplifier circuit (how else would they have the power to drive headphones), the differences can be big as they can use either IC's (opamps with limited current drive) or discrete circuitry (which can be nice)
If you wanna go far in the experience, you could fiddle around with those series resistors by replacing them by other type/brand (Takman, AudioNote, Ohmite, etc).
Report back if you find any audible improvements