If you can go along with this - here is the math:
Baal on hell P1 has 493.701 hp - he has 50% cold res - https://classic.battle.net/diablo2exp/m ... baal.shtml
Frozen Orb takes 8 frames to cast and has 25 frames delay - the real time is aprox. 1,32 seconds - that none of the weapons can do anything about - and as such does not need fcr - but lets assume we are overcapped with 105 just to pick a number that would match real game setups.
With endgame gear - DF setup will typically result in 24 skill pts. into Cold Mastery +1 for the base pick. A total of level 25 resulting in -140 cold res.
The -resistance Cap is set at -100 (and this is why DF would, on paper look much better and faster).
Now, you are cherry picking Ball on Hell - which is a great example to be honest - though with somewhat more total hp than the 99.9 monsters you kill during a gameplay - but who counts
DF setup ends on -155 (140 from CM 15 from 3 x 5/5 facets) and thus Baal takes double dmg.
Doom setup ends on -205 (140 from CM 10 from 2 x 5/5 facets 60 from Doom) and thus Baal takes double damage.
The above numbers does not matter in this case - since the Ball only has 50% cold res - but lets keep them in mind.
I have played several Cold Sorc Setups with perfect gear. As in perfect - not the "perfect" you ever so often see here on the trade site. You know what i mean
However, this will probably be better to explain with the "raw math" as you refer to but are unable to perform? Since you keep talking about it and use claims that you can not backup with the same math that you refer to ... I am not sure how to respond, but I am trying my best
The damage varies a bit - depending on the resource - but here are some numbers that I find realistic:
Frozen Orb bolt does 3088 "base dmg"
This means that Doom setup will end on 3088 x 2 = 6.176 dmg per bolt
DF setup will end on 3088 x 1.194 x 2 = 7.374 dmg per bolt
If you need the explanation and math behind the 1.194 factor - let me know - it can be complicated to explain. This is the final result of the 30% from DF and the 5% from facet - on paper the +35 to cold dmg.
All of this will end up with:
Doom needing 80 Bolts to kill Baal.
DF needing 67 Bolts to kill Baal.
Frozen Orb releases up to 46 Bolts. With a big target like Baal - would it be fair to assume that 15-20 Bolts hits him?
This means that Ball will die on the 4th casted Frozen Orb - regardless of which weapon you choose.
Is this math enough to convince you that my statement is true?
It only becomes even more obvious as you apply this on the 99.9 % of monsters you kill elsewhere.
Now, are you willing to look into how the cold sorc gets to Baal in P1?
The 5 waves
retepnap
690