I completely agree with MaplePanda that domed metal pin is any less likely to do shin damage than a flat top if one were to slip off the pedals. I would be leery, too, of the possibility of less grip a domed pin might provide. Definitely not looking for less grip on a flat pedal.
I ride flat pedals and would say I'm about middle of the road in terms of aggressive riding single track. I enjoy the drops and jumps that aren't completely insane, and it's these features where I've come off the pedals due to poor foot position and less than adequate control coming into the lip of of a jump. In the few instances where that happened, I was far more concerned for my jewels than my shins since the seat is the next stopping point for the body that has only air under its feet.
At any rate, your grip on a flat pedal is chiefly provided by an adequate amount of well placed pins that have a decent amount of height to gain excellent purchase into a rubber sole riding shoe. Other factors like platform size and a nice dished shape are helpful as well, but ultimately it is the pins which make the foot stay in place.
I ride Shimano XT flat pedals with the long, 6mm pins on both sides of the platform. My properly positioned foot is stuck to the pedal as if I were clipped in. Speaking to your concerns specifically, I'll use the XT pedals (PD-M8140 is the Shimano model number) as an example, although there are certainly other flats on the market with similar features I'm gonna relate. The XT flats come with short, 3mm, pins installed. These pins have rounded upper body and in the center is a 2mm hex tool hole. The bottom is an M3 thread that goes into the platform until the flanged part of the upper pin stops at its seat in the platform. So there are your round profile pins.
Also provided with the pedals are long pins these also have an M3 thread that terminates at a small flange. Above that the business end, is a 6mm tall, cylindrical pin that has a round, flat top and the hex tool hole at the center.
Both sides of the platform have pins. You could if you wanted have one side short pins and the other side long pins. You could even mix short and long pins on the same side, perhaps installing the short, round ones in the holes along the long edge of the pedal where you'd most likely scrape your shin should you come off the pedals. I, myself, would not prefer the short pins at all for reasons mentioned above, but wanted to alert you to the possibilities.
Overall flat pedals are the best for developing skills on since you need to have good technique to, say, bunny hop. Also the ability to come off the pedals quickly can be comforting, though one easily get stuck on a flat pedal (I've endo'd a few wheelies not being able to get my feet off the flat pedals and having no more leg extension to kick out off of them), and getting unclipped can be lightning fast with experience (both in technique of the clipless system and anticipating trouble).