Well... only if you don't own a tire changing machine. You can swap 'em, but you have to swap the rims, you can't just swap the tire+rim (unless you drive backwards mostly).
I used to run those stupid Goodyear Gatorback tires and had a deal with the local tire shop to give me a break on swapping. But ultimately I just "challenged" myself to wear my tires out fast enough that tire rotation isn't a consideration.
In all seriousness, though, the rubber on a car tire isn't "homogeneous", it's not the same throughout. The rubber at the face of the tread on a new tire is softer than the rubber deeper down. The more the tire wears, the harder the exposed rubber becomes (which is why a bald tire doesn't work the same as a drag tire, when the tire has worn to the carcass the rubber is more like a hockey puck than a pencil eraser).
What the US DOT dictates as minimum acceptable tread depth is well past the point a tire is going to perform like when it was new. Buy the unidirectional tires if you want. Properly align the car and IMO, if the tires get to the point you need to think about swapping them left/right, you should just be thinking about replacing them instead.