...[Brick] gaming is about building elaborate constructions, and then demolishing them in the most absurd manner devisable -- and *talking* about it. IMHO.
There's a strong role-playing component: players should devise names, stories, motivations for their armies; describe the circumstances of each attack; explain exactly what catastrophes befall enemies (or what miraculous escapes they make, if the dice roll that way). It's not just sterile calculations of relative stats, ranges, and probabilities.
The rules exist to supply just enough structure to minimize arguments -- and, if you've got sufficiently creative players, the GM can devise/negotiate new ones on the fly to handle unforseen circumstances. "You're riding a dinosaur? Okay, that's a steed, so it would normally have 3d6 Armor; but it's a lot bigger than a horse, so let's call it 5d6."
The advantages of brik gaming over conventional plastic or pewter miniatures are (a) customizability, (b) depicting damage, and (c) "playfullness" -- there's nothing *serious* in minifigs.