Well, I have seen courses with index 1 and 3 in holes 18 and 17, So there is no guarantee that even odd configuration helps you on that...
Royal Troon comes to mind as a course that has even and odd holes on each nice. First hole is/was SI 16 and the second hole was SI 7.
I'll re-iterate that it takes a pretty goofy system (almost to the extreme of assigning stroke indexes 1-18 or 18-1 in order) to really affect a significant number of match outcomes.
IMO people obsess over this needlessly. Sometimes it's based on a misunderstanding of the "hole difficulty" thing, sometimes it's based on their own games and where they typically lose holes (while ignoring that they often win some other holes), etc.
I used a random number generator to put the numbers 1-18 in random order:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
13 15 1 12 8 4 11 18 9 16 3 5 14 6 7 2 17 10
You could take that sequence to almost any course and the majority of matches would end with the same winner.
The USGA and member associations are, from what I know, going to make recommendations to clubs, or in some cases only even do this when directly asked what they should do, and are generally going to let clubs do whatever they wish with the allocation of stroke indexes. They're there to help, not to enforce, as all of their data again shows that it's not really going to change outcomes unless something truly bizarre is done.
So, perhaps for simplicity's sake, they're doing the (A+B)/2 method, and recommending for example that SI 1 and 2 come in the middle three holes of the front and back nines, and that consecutive stroke holes are not side by side, and some other little guidelines.