Tonymac136
500+ Head-Fier
The bass does improve slightly with increased power -- comparing, say, single-ended ES100 output to balanced ES100 output. But not dramatically, in my experience. And this is not specific to the BL03, it's common with dynamics.
Anyway, if you have amps, use them; I certainly do. (I love my portable amps). But I think the power requirements of the BL03 are often overstated, compared to actually hard to drive IEMs like the Advanced GT3 Superbass, source-picky IEMs like the BQEYZ Spring 1, or planar sets. I think power/source matching the BL03 is of relatively low concern, especially compared to getting tips and cable that enable a good fit.
If the source is actively bad, the BL03 will not make it sound good, but at the same time I don't think it's such a revealing IEM that it will exacerbate it. But I don't listen with really bad sources, so maybe I'm wrong about that.
Between SE and Balanced output on the ES100 is a smallish difference. Between my phone and the SE output of the ES100 it's a much, much bigger difference. Given little power, it achieves volume but the bass is flabby and wooly and the transients are flat. Given plentiful power and it tightens up and gets a real sense of rhythm. It's not the hardest to drive by a long way but feed it with a poor source and it really doesn't shine.