In some cases, such as the HiFiMAN HE-6, which has notably low sensitivity and thus requires several watts to power adequately, the microZOTL Preamplifier will give you a satisfyingly loud and full listening experience.
Since the unique circuit of LTA amps reacts very little to different impedances, it is mostly a matter of sensitivity when it comes to which headphones the microZOTL Preamplifier headphone output works well with.
Whether it can "drive my headphones" often just means "will I prefer how my headphones sound with this amp?" We've read many accounts of people thinking their HE1000 or HD650 has never sounded better than with their microZOTL Preamp. I've also read one or two accounts of people saying the opposite.
We don't know what you like, but we do know that we've read far more mentions of the microZOTL Preamplifier sounding good with all kinds of headphones than not.