If by "generic" you mean a set of rules that could apply to anything in the horse-and-musket era, then No. Grande Armée is specifically designed for the Napoleonic period, with rules and values that wouldn't apply to anything else. It is not a multi-period game and doesn't share much in common with existing multi-period games.

As for "abstract," it depends on what you want. All games choose a level of abstraction, and different players have different preferences for where that level of abstraction falls. If you are the kind of player who wants to play out every step of a cavalry charge: checking morale, moving to contact, checking to see if the defending square held, resolving defensive fire, checking to see if the cavalry broke through or rode around, resolving casualties, checking fatigue, etc., etc.... then this is not the game for you. All of these things are considered in the resolution model, but they are not represented by separate activities.

Grande Armée places you at the corps or army-command level, where you do not exercise that degree of micro-management. Think of yourself as an army commander, squinting through his telescope to see the cavalry, and wondering simply: "Did our boys break them?"