I'm sure many here would be interested in photos of you Billet distributor and its pickup, even if we can't answer your question about the details of rising or falling edge (Kit's O-scope photos show "triggers on rising edge"). Another issue is that as spark timing changes, one needs the rotor tip to still align with the correct post. The biggest change comes from rpm advance. In Mopar distributors, the balance weights make that angle adjustments below the pickup plate, so no effect upon the phase between pickup and rotor. Not true in some aftermarket distributors. I've seen some which have a wide-arc rotor tip to allow the spark to still jump to the proper post despite rotor angle changing with rpm. The vacuum advance adjustment does change the pickup to rotor alignment, but it is a fairly small angle change (>15 deg?).
There are youtubes where someone drilled a hole in the rotor cap to view where the rotor is when #1 spark fires, to verify rotor-phasing. One can even buy a transparent cap for some GM distributors. I feel for your concerns since I dealt with my 1964 slant idling very poorly after years of non-use. New gas, and no improvement on shots of starter fluid (usually runs smooth). Since last run, when it idled perfectly, I changed to electronic ignition, but instead of an entire 1972+ distributor, I put the innards plate into the 1964 points housing. Then I wondered if parts were compatible. Bought a new (cheap) Chinese e-distributor, but no better, but no history with it. For next pass, I have a factory e-distributor and also going to have better diagnostics (wideband O2), and a rebuild kit for the BBS carburetor. Frustrating when you don't know if the problem is fuel or spark. At least with later crank-triggered engines, you don't need to be concerned with spark timing, only that it does spark, assuming you have the proper "toner ring" for your year.