I am not changing my phone. So how does the modile fare against fiio e17k and q1?
You have a lot more power off the E17K and Q1. However, the reality here is that for headphones that really need a lot of power these won't be enough either, and for IEMs, these are already overkill, plus the form factor isn't pocketable.
If you'll use an IEM you might as well get the module since 1) you won't have to manage a cable connecting it to the phone nor 2) strapping a DAC-HPamp to the phone. In other words, it's more compact.
I am using an 11ohms iem so it is relatively easy to drive.
The impedance is
not an indicator that a transducer is easy to drive.
Impedance that low can actually indicate otherwise for another reason: damping factor and output impedance. Even if the headphone/IEM in question has high sensitivity, ie, the true indicator of how easy it is to drive in terms of how much power is necessary, and can get past hearing damage levels with only the clean 10mW out of a smartphone audio chip, if that circuit has an output impedance higher than 2ohms, you'll get driver distortion from it getting clumsy in doing its job. It's like having a light car with a lot of power, but using the wrong tyres for the weather condition.
Also, most amp circuits will produce peak power at 32ohms, maybe at 16ohms. Power output is lower above
and below that. Even the Schiit Lyr will kick out less power at 8ohms vs 32ohms. Same way most speaker amps will likely produce less power given a load lower than 8ohms or 4ohms (and actually cause thermal issues).
If you want to be able to still pump out more than what a smartphone audio chip can kick out - and BTW the B&O module doesn't have anything like a regular DAC-HPamp circuit with a DAC and separate output stage op-amps (much less discrete components) - then get the E17K or the Q1. But again even if the B&O's output drops below 16ohms the sensitivity of the IEM can still be high enough for that too low impedance to not be a problem, plus that compact form factor.