In 1720, I don't think most of them had figured it out yet (or couldn't afford screws), and were still attaching tops with wooden pegs, and the tops eventually split.
I also like the looks of the diagonally oriented leg supports, but they don't provide as much support across the whole width of the table, and they increase the chance of cupping, and complicate the elongation of screw holes, which should be oriented across the grain. They would also complicate the installation of figure-8 fasteners if you decided to use them.
Intuitively, I think your top is strong enough that support all the way to the edges is probably not necessary. Also, I think your supports are wide enough to accommodate screw hole elongation at 45°.