My main concerns would be durability and cost. I'm sure I could play in minimalist shoes, but I'd burn through them quickly and most of them are more expensive than the tennis shoes I wear.
It would be nice if a tennis shoe company would step up and make a zero-drop tennis shoe without a lot of padding, but with a durable tennis outsole. Sort of old-school with lightweight and modern materials.
By the way, 6love, you must have narrow feet as I can't wear the Tigers or the Road Gloves because they pinch my toes.