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I recently had an alignment done on my car with front toe set at zero.

I've been doing some aeromods lately so i kept detailed records of coasting distances etc. but after that zero toe alignment car coasts noticeably worse than before.

I thought alignment machine was broken, so I DIY checked front toe with some sticks and tape measure but wheels are dead straight. It seems that original unknown amount of toe in was better for rolling resistance.
Literally nothing else changed, tire pressures are the same, temperature, brake drag, everything.

So I had an idea.

What would happen if I let car to "set" ideal toe by itself?
If I would loosen the tie rod end nuts and drive car like that for few days, wouldn't front wheels align themselves in position with least lateral thurst and therefore least rolling resistance?

Is that complete nonsense or is it worth a try?