"I know about capacitive reactance and the cap will charge and discharge, but i'm trying to not think about that here and i'm trying to think about what component get's the current flowing through it and whether it divides up equally."
My view, and of course I have not empirically tested things to destruction; is that these schemes are directed at the notion of inrush current when the amp/power supply is first turned on----and not having that inrush current (which we know can be very, very large) blow up your diodes and create a cascading failure scenario. In a tube amp, we know that the diodes, even clunky 4007's, can switch very fast. Those diodes switching on OR off can create sort of unknowable conditions since they are hitched up to an inductor (the output of the PT and possibly a choke, downstream) and of course, our pals, the electrolytic caps, which take time to charge up.
Once a few cycles of AC power have gone through and the rectifier portion has reached a more-or-less steady state, the diodes turned on probably swamp (meaning short out) the action of the caps. The transients of the diodes turning off gets absorbed easily into the electrolytics. Again, I believe this is all overcautiousness for those first few turn-on cycles....and it is not completely unjustified. These are cheap parts and you or I would no doubt rather put them in during the build when it is pretty painless versus taking down the amp, blown up or flamed or with exploded cap(s) and hauling it on to the bench.
A lot of this, IMHO, is left over from the paradigm of a Twin Reverb where we see 3 diodes connected in series on each side of the full-wave rectifier. Maybe few people trusted diodes back in the early 60's. There they were, taking the place of gigantic 5U4. Now, we have completely ordinary 1N4007 diodes good for 1000 volts and 1 amp --- basically, more than TWO 5U4s...and maybe we still don't quite believe it. Nevertheless, they cost all of 3 cents each. If this stuff makes you feel better, I say do it.