It yields more pressure on the piston based on more surface area
More surface area, yes. It does not change the column of pressure exerted down on a piston. I don't care what shape the dome is. Force=Mass x Acceleration, period. A 50mm bore pushing down on any shape piston will yield the same force if the pressure is the same. It probably cools better though.
A pop up may change charge direction in some engines because Some of the charge will hit the pop up and be pushed upwards towards the chamber more. It also may create a wider squish area and more squish velocity if it's machines just right with symmetric squish between the chamber edge and the top edge of the pop up dome before it turns flat. But too large a squish area ain't good either. The charge trapped there isn't burned, it's lost.
As for flame travel, I believe all of the charge is ignited within the first few degrees surrounding TDC. The smaller the combustion chamber, the more preheated the charge and the more central the plug, the faster the travel will be.
The piston crown can induce swirl which will decrease detonation and result in more complete charge burn by creating a more heterogenous stoichiometric charge in the chamber. There was a bunch of experimentation in the 80's with custom 4 stroke pistons with some wacky looking domes to induce swirl.
My main issue with pop ups is that they need to be machined anytime a new slug is needed for an engine. It will create more work for a builder, which may be good or bad.
There are some jugs with near perfect numbers where a pop up will help. Others with near perfect upper transfers where a popup and band cut combo will ensure good numbers and flow.
Like anything else, it's a useful tool. The last jug I machined was crying for a popup, but I didn't do it. Kicking myself a bit for that now. I dropped the jug and cut the band, then raised everything back up. Now I need to open the chamber for less compression. All because I wanted my friend to be able to use an off the shelf piston whenever he needed to.
My .02. Explain why I'm wrong.