Well that is the funny thing, no one believes in true sequential. None of the pools, not even Bram lol.
If solve time is average of 50% regardless of the order of ranges, why don't the pools nor anyone, start at key x and search it all to key z? Does human nature/gut feelings get involved? Or some kind of personal, average probability based on past wallets solved? Would love to hear their reasoning.
If you go full sequential from 0 to N you’re giving away your progress to the competition. It has nothing to do with better probabilities of finding the key.
Sequential A:Z is slower than Random+ Sequential, for the simple reason that you introduce the birthday paradox, which gives you a percentage greater than 50%. I don’t understand why you say you’re giving away your progress to the competition if you go from 0 to N. Is your pool public?.
If you go from A-Z and people know it, why would they also go A-Z and overlap with your work.
They have a greater incentive to go Z-A, all the work you do (public or not) is literally gifted to them.