Chris, I've made some tables with cock beading and I think you achieve the better result by edge beading the stock first, and then ripping the edge- beaded portion off rather than using the round-over bit on a 1/4" wide stock.
An 1/8" radius edge beading bit will produce a perfect 1/4" 18o degree finished bead (when run to full profile depth) with no flat spots on the profile, and you can choose to widen the reveal a little with a simple pass through the table saw if you wish, then rip it off the board.
With the round-over bit you would need to use a 1/8" radius bit to achieve a perfect 1/4" 180 degree round over and would be working with a piece of 1/4" wide stock to make a least 1 pass through the router table. To me, this is slower, causes extra set-up time, may not be as consistent shape-wise and maybe not as safe routing narrow stock.
Rick.