The main intent was so that I could get the timing set initially per the drawings. But I've at least had some thought about playing around with the valve timing by making additional cam rings, in which case having an easy way to dial in timing would be extremely beneficial.
Regarding the 'randomly positioned idler cluster', someone over at that other thread brought up the notion that you could just assemble/disassemble/reassemble the motor with the idler gearset in each of the 18* different 'positions', and one would give you a valve timing extremely close. That's true, no doubt. But I thought my modification was a bit more elegant and robust a solution.
It now occurs to me that, even though I've built in this adjustability, it would still behoove me to make a set of timing marks on the idler gear cluster, the internal ring gear, and the gear on the crank. That way, once I get the valve timing dialed in, I don't have to repeat the process every time I pull the motor apart.
*In my earlier post I said the cluster is made up of a 12T and 24T gear. It's actually a 12T and an 18T gear; I've gone back and edited my post to fix it.
Nice looking visual you made there! Nothing jumps out at me in there as being objectionable. I made a similar spreadsheet to look at the same types of timing events and durations. But your middle plot really summarizes it nicely.
I've done quite a bit of work on two-stroke motors (mopeds, mostly). In the two-stroke world, valve timing is equivalent to port timing, and there's actually a surprising amount of information out in the world about timings/durations/overlaps/etc. I haven't dug into the same for 4-strokes. Certainly there must be good info out there, I just haven't looked for or see it either.