Not in my opinion… I use a slightly domed peen hammer for all of it. I even forge and rivet (pretty much the same process) with a domed peen, rather than a cross peen. Unless I need to move material drastically. I’ve always found it useful to ask myself “why”. Why do I need to use a cross peen for rod/wire? Why a flatter peen for sheet? Others may have a specific answer and if it makes sense that you should proceed that way. I try not to do something simply because conventional wisdom says so.
For a long time, I didn’t forge the ingots before rolling. It seemed to me that the rolling itself was a percussive process and would take care of things. My ingots were fine. Then I started looking at the ingots in process. The top and bottom were moving ahead of the center mass. I realized that, while there was a compressive/percussive force going on it was uneven and didn’t penetrate the mass. So I started hammer forging first. The ingots were maybe a little better but they felt much better when rolling. Smoother with less cracking maybe. My point is that once I realized what was going on I adopted a new procedure.
I make much of my own sheet, wire and tube. Even .03mm welding wire which I roll and then draw down from thick ingots. Forged with a large low dome plannishing hammer.
Hope that helps….