I'll fall completely off the shelf and smash into a loud and empathic, "Don't do it!!!" As with everything that can possibly go wrong in our sooooo finnicky hobby, every time you encroach on established or anecdotal minimums, whether for curves, transitions into curves in any plane, clearances, and aisle widths built for humans with elbows, you write a blank check for Herr Murphy.
You would be far better to build a substantial 3/4" plywood hinged section that swings up and over vertical by about 15 degrees, or one that swings down and can tie up on hooks nearly parallel with the bench now above it, or an actual lift-out section.
This is the one link in your system that will get a lot of wear and tear, and a styrene bridge just won't do. You want something nearer to 28-30", wieghing about 4 - 6 pounds, and hinged with good brass hinges. Considering all it takes to construct a nice Bascule bridge kit, paint and weather it, and then set it in place so that everything lines up all 680 times you move it into position, I would be crushed if I lost it to a moment of inattention, either on my part or the part of a highly embarrassed guest...or spouse. Come to think of it, the bridge would be pretty crushed as well.