I repeat:
The nuts/screws are NOT 7/16". They should be 5/16". The WRENCH Size is 7/16". If your carriage screws are two different sizes, one is most likely 1/4" and the other is 5/16". The squares that the carriage bolts fit into will most likely be slightly different in size too. I assume the bigger (5/16") size is on the screw that actually adjusts where it is on the rail (not the angle/L-arm adjuster). Again, take the old carriage screws to the hardware store with you, so you can be sure of the thread size and length.
That's the case for me on a few MIJ (Made In Japan) kits. I made everything 5/16" (instead of 6 mm) just so everything would be uniform, and so that my Ludwig consolette hex wrenches would work. It's not terribly difficult to slightly enlarge the square. Five minutes and a file equally spent on all four sides of the square should work.
If you want to stick with the two different sizes (and not do any modifications), consider replacing the nut that adjusts the angle and L-arm with a stop or locking nut. If it's 1/4", it will use the same 7/16" wrench as the 5/16" screw with a coupling (Ludwig) nut, because again, the Ludwig coupling nuts are smaller in diameter than normal, so that's why a 7/16" wrench will fit both a 1/4" "regular" nut and a 5/16" coupling nut.. It's much more secure that way, and usually, once your angle is set, you typically don't adjust it that often.
You can buy the 5/16" hex nuts on ebay for a few dollars plus shipping. Or you can just cut a 5/16" coupling nut in half and have two for less than 50 cents. Better to have one extra for some small change (less than 25 cents each) than to pay 20 times as much (or more once you factor in shipping) to get one from ebay.