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I agree with Charley on using a TS to cut the fingers. The saw blade only puts pressure back and slightly down. When a router bit enters the wood the left side is spinning outward which wants to tear the grain on that side and when it exits the cut the right side is trying to do the same thing. Both machines can make fingers but the saw does it better so why use a router?
My daughter needed some bench/storage chests to use as storage and seats around her dining table a few years ago. I used some 1 1/2" square pine for corners which I put stopped rabbets in which made the upper portions L shaped. I then glued and screwed 1/2" mdf panels into the rabbets. Along the top and bottom of the mdf sides I trimmed it with 1/4" wood to improve the looks of it. They looked pretty good and they held up close to 500 lbs when used at the table. So that's an alternate possibility for you that will hide the edges of the ply, nit involve cutting fingers and have the plys exposed and is fairly easy to make. You don't need much solid wood to do it either.
My daughter needed some bench/storage chests to use as storage and seats around her dining table a few years ago. I used some 1 1/2" square pine for corners which I put stopped rabbets in which made the upper portions L shaped. I then glued and screwed 1/2" mdf panels into the rabbets. Along the top and bottom of the mdf sides I trimmed it with 1/4" wood to improve the looks of it. They looked pretty good and they held up close to 500 lbs when used at the table. So that's an alternate possibility for you that will hide the edges of the ply, nit involve cutting fingers and have the plys exposed and is fairly easy to make. You don't need much solid wood to do it either.