Like Greg and Bruce, I do own 2 of the Woodpeckers 660mm precision squares. They are very nice to use.
However, decades before they were available I had precise framing squares. There is an old fact of geometry:
Establish a straight edge. Take a square. Place it in the straight edge and draw a line using the perpendicular leg of the framing square. Then flip the square so the reference leg goes the other way on the straight edge. If the other leg lines up with the drawn line, that square is accurate.
In practice long ago I first went to an art supply store to buy a 30" x 40" piece of multi-ply art board. That was not very heavy and a product not sold in hardware stores. I carried it with me to 'audition' the supply of large framing squares. I would take one, try the test and if it passed, I would buy that square. If not, I would audition another, and so on, until I found an accurate square. The first time I tried that the hardware store had 4 26" framing squares in stock. The first one I tried passed the test. So did the second one. I bought both of those and still own them 60 years later. Minutes ago both passed the same test.
Yes, in use there advantages to using the Woodpeckers squares, because the shorter leg functions like the thick leg of a tri-square.