It's very naive to assume that just because the general category of the base material is the same, the construction techniques are similar. Even the materials are not actually the same, modern bricks are a lot more complex than basic bricks. I doubt any civilization even 500 years ago, let alone thousands of years ago could have made them. And we make them like this for reasons such as increased durability, better thermal insulation, probably reduced production costs, etc.

For all intents and purposes a modern brick might as well be carbon fiber compared to ancient bricks.