Repeating my reply from elsewhere in the thread, individuals and corporations aren't making tradable decisions at subsecond intervals. Few even make tradable decisions at intraday intervals. Given that randomization need only apply to orders placed simultaneously at identical prices, I don't see how it would increase market frictions enough to significantly limit the utility of markets in price discovery, long-term investing, and the raising of capital.

Submit a limit order at a price you find fair and wait your turn or just take whatever's available on the other side of the order book. Markets have long functioned productively and efficiently on slower, human-speed timescales without the need for day traders or intrahour market makers.