When I look at a vase I see the right and the left at different times

I find it very difficult getting the right and left side symmetrical on my painting. Because I know it is I think I should paint it, but what if I didn’t ? What if I painted it differently would it matter?
The background is different on both sides.
Should My painting show what I see or what I know is there.
Although I think this is wrong because in reality they are the same and they are symmetrical.
But the point is does it matter if I paint them differently?
Just as the two sides of the face are different maybe I should paint the two sides of the vase differently. Or would this be giving up.