Big stack is an advantage in most situations.
I use it to play more laggy. I call more rasies with marginal hands say T9 or T8 more gappers, suited connectors etc.
Not to say i dont do this normally, its just that you can afford to get in more pots with mrginal hands if your a big stack (conversly you can also raise with these types of hands too!) therefore when you hit, and it seems like you didnt or the other guy tries to buy a pot your winning still and can make appropriate plays or even get paid big style.
For me the big stack allows you more scope to get in more pots where you normally might not. Whether this subsequently makes me more laggy, i dont know but my flops seen % goes up 10% when im big stack at a table.