Convex or flat? Tap or not? Questions of the espresso ages that will never be settled. The thread
Does a good center tamp take care of the sides? is a recent attempt to treat the issue. The closest thing to a consensus of that discusssion could be summed as "there are bigger problems to worry about."
You do however give me an excuse to show this nice photo of the Espro:
My first attempt at fancy photography on a budget
I'm a four-corner / Staub tamp guy myself. If I have a preference for piston shape, it would lean towards convex. Even in that case, my answer would be "it depends." For example, both Ken Nye and I noticed the Elektra A3's extractions seemed to improve slightly with a convex. Before closing out the review on it, I ordered a "Euro curve" convex piston for the Reg Barber tamper to test the extreme. Stay tuned to the
Bench forum for reports of the effects of prominently buldging tamper pistons.
That said, "keep it simple" is my short-term recommendation. If you've got spare coin and see a new shiny tamper that grabs you attention, settling the convex versus flat debate in your own mind isn't an outlandish expenditure.