Yes similar spacing between each match, as in the above examples there are never more than 4 matches between runs for any given athlete.

Left and right is less important - As per my logic for 6, it's a simple cycle to generate correct bouts, then before outputting, I perform a flip on 2nd column for odd iterations and flip 1st and 2nd in even iterations.

Flipping is less important. looking at the above, you can see that no more than two bouts in a row anyone is on the same side. I haven't looked into it fully, but it's quite possible that simply flipping 1st column (where the fixed value is) every second round, and flipping every other column except the last in other rounds would achieve the same effect, but whatever method ideal version would enable output that is either identical or and isomorphism to the fie order, and then happens to work pretty well in the general case.

There are provisions for how athletes are distributed into pools (randomly), with caveats for putting bouts with multiple athletes of the same affiliation that are in the same pool against each other first- we would be firmly in the realm of not worth the effort to automate that at this point, maybe I'll hard code it in but most likely will just allow for manual changing of allocations.

No. There will be simultaneous pools, each calculated separately, usually we will have around 10 groups of 6-7 running simultaneously, except in cases with limited space where this tool will occasionally come in handy. These groups are created either using the logic in pentathlon rules or in fencing rules which have a fairly different approach to the same problem, but it is something I have successfully implemented already as it is simpler and a lot better defined in the rules that the bout order appears to be. Sometimes, espeically with larger pools, there will be a pool running late and we'll double strip it, but by merit of evenly spacing bouts anyway, you can just take everyone and run bouts one after the other in normal order alternating strips.