I just played a PH start. Settle PH, Worker -> WB x4 -> Settler (whipped for 3) -> Galley. I chopped the only forest into the settler prior to the whip. Settled Orleans on the island to the west, hill on island already mined.
First exploring WB -> T45 (WB #2)
Second exploring WB -> T58 (WB #4)
Fishing (T11) -> Mining (T22) -> BW (T44) -> Sailing (T59) -> Pottery (T70) -> Mysticism (T77) - This is about 5 turns slower than my last SIP test.
Capital (T82): 3 pop (29/39 food), +9F, 2H, 15C, Granary 22/90

, +1

from whip.
Orleans (T82): 1 pop (28/33 food), +4F, 1H, 5C, Granary 10/90

, no whip

Settler #3 and worker are on Galley on T82 (1 turn sooner than SIP).
Total naval exploration turns is 38 + 25 = 63 on T83 (53 more than SIP!!)
This option ran into unhealthiness at pop 5 and didn't seem to have many good options to use the whip (total 3 pops whipped vs. 7 for my SIP test). SIP never lost any food to unhealthiness. No infrastructure built anywhere (SIP already had a granary in the capital which made for very efficient food to hammer conversion). Slower science than SIP. WAY more exploration.
Both options have a third settler on a galley at almost the exact same time T62 vs. T63, so from a REX perspective, both of my tests were about on par.
So, as we've been discussing, the main thing we have to decide is which is more important in this game: Early exploration vs. faster science and a slightly more developed capital. Also, even though many of us are discounting the health issue (PH had +4

vs. +6

for SIP (+1 from forest and +1 from granary)), SIP has an extra +2

to play with (although current whip

has us staying at 4, soon to be 5, pops) which means more efficient conversion of food to hammers if we whip 6 -> 3 or 5 -> 3.