yes it does. you don't need square port heads at all, you use the square port heads on oval port heads, it's been done many times. Use the square port gaskets. The other way around won't work at all, but don't ask how I know this.
I don't know why this hasn't been mentioned already, but you can't just assume you can mix-n-match open and closed chamber heads and open and closed chamber pistons. Even with open chamber heads on CC pistons there's often problems with clearance around the edges of the domes. The shape of the dome and chamber are just as important as the size.
I recently went through this with a bone stock 66 396. neither the heads or block had ever been cut. The correct L2240F pistons hit the stock 702 heads (IIRC) around the corners of the domes. The engine wouldn't turn over on a trial assembly, clonk went the piston into the head. Had to trim the edges of the domes right down to the piston deck to get it to work.
pays to make a trial assembly with no rings or seals. if the pistons clear the heads with no head gasket they probably be OK.