Alright then, using
bold to show the bottleneck, worst case scenario your team without PF and with Saraswati:
6/
7/6/5/6... actually, since turn 6 brings you Saraswati's +Burst back up, let's rather use:
6/6/6/5/6
Worst case scenario your team without PF and without Saraswati, moving Atalanta to second slot:
6/
8/8/7/6
Yeah, alright. That's two turns faster, in the very worst case scenario. Which is 25% faster.
How about average numbers, then? With Herc running 19.91 Burst/t for example for the first five turns and Saraswati combo targets running 18.4 Burst/t for three turns. Brackets that don't include a turn means that that is the amount of Burst they gained in that amount of turns, and {} used to indicate how close some Hime was to reach a milestone in some specified amount of turns.
Average result, without PF, with Saraswati:
5 (129.55)/4 (91.6)/3 (80.2)/5/
6 {57 Burst in five turns on average}
Oomph. The last guy only needs to combo once to make it in five turns, or take quite literally any damage. Let's move the +Burst to the last slot to see if that helps:
5 (129.55)/4 (91.6)/
6 {78 Burst in five turns}/5/4
Shit. Didn't help. Again, would be fixed with basically any amount of damage taken.
Average result, without PF, without Saraswati, Atalanta second slot:
5 (129.55 Burst)/7 (97)/
8 {68.4 Burst in 7 turns}/7/6
Oomph again. This time the third slot is on the very cusp of hitting seven turns.
Again, yeah alright, that's the same result. Saraswati is still two turns faster, with both teams being quite likely to hit one turn faster most of the time from taken damage. So that's 25%-29% faster.
What about with PF, then? This requires Herc to reach 150 burst.
Average result, with PF, with Saraswati:
7 (182.35){140.95 in six turns, so not even close}/4 (91.6)/4 (91.6)/5/6
Oh dear. This is where we see the problem - Herc is bottlenecking the team, rendering Saraswati pointless. Let's see if we can fix that by using turn 6 Saraswati +Burst on Herc, maybe Herc doesn't need to wait for his Relic ability to come off CD?
6 (165.95)/4 (91.6)/6 {78 Burst in five turns}/5/6
Saved!
Average result, with PF, without Saraswati:
7 (182.35)/7 (97)/
8 {68.4 Burst in 7 turns}/7/6
Again, two turns faster. Although the non-Saraswati team is fairly likely to do it one turn faster since third slot just needs to take any damage once. 13-25% faster.
And finally, worst case scenario, with PF.
Worst case scenario with PF and with Saraswati:
7 {130 in six turns thanks to Saraswati}/6/6/5/6
Worst case scenario with PF and without Saraswati, moving Atalanta to second slot:
8 {145 in seven turns}/8/8/7/6
Again, yes, Saraswati team is faster. By 13%.
There was a lot of stuff there, so I could've fucked up a lot of shit
I don't have the time to double-check it all. If anyone has any complaints, do point them out.