A shoe of any other name - still a brouge?

[MacMillan of Rathdown]

They are.

Broadly speaking men's lace up-dress shoes come in three basic styles:

The Oxford, which usually has a toe cap, but always has closed laces;
The Blucher, which usually has a plain toe, but always has open laces;
and, of course,
The Brogue, which has a second decorative layer of perforated leather on the toe and heel, and may have either open or closed laces. The brogue is also referred to as the "wing tip" when the second layer of leather isn't perforated.

Usually the Blucher and the Oxford are of fairly light construction while the brogue tends to be a sturdier shoe. Ghille brogues are basically Oxford brogues without a tongue, and (of course) extremely long laces.

So, ordinary "dress" shoes are either Oxfords or Bluchers, which may, or may not, have broguing in which case they are brogues.