First of all, let me say that I am thorougly enjoying this discussion.
As for your 'simulation' of the popbanker, you made 2 assumptions:
- The 136 starting LQ's have maximum population at tick 0
- According to your calculation, when one jumps from 136 infra to 174 infra, the population is maxed in 1 tick
Because of those 2 assumptions, your simulation is invalid. You made the exact same assumption in your previous post, with the exponential growth of a popbanker which is too incorrect.
A more realistic approach:
The population of a popbanker grows from tick 1 till tick 50. Meaning that with 136 LQ's at tick 1, the pop will only have the income of base population and at tick 50 he will have the max population. Every 5 ticks of saving, if the popbanker uses that cash to build more LQ's, then new population will start to grow. This population too grows from the tick it is build till it is maxed. Meaning that the total population= old pop + newly build LQ's. If we continue with this principle we get the following growth:
Tick Income Pop Population Infra Food Con Food Cost
1 351,6666667 10550 136 1055 211
2 371,0083333 11130,25 136 1113,025 222,605
3 391,4137917 11742,41375 136 1174,241375 234,848275
4 412,9415502 12388,24651 136 1238,824651 247,7649301
5 435,6533355 13069,60006 136 1306,960006 261,3920013
6 459,6142689 13788,42807 136 1378,842807 275,7685614
7 484,8930537 14546,79161 136 1454,679161 290,9358322
8 511,5621717 15346,86515 136 1534,686515 306,937303
9 539,6980911 16190,94273 136 1619,094273 323,8188547
10 569,3814861 17081,44458 136 1708,144458 341,6288917
11 600,6974679 18020,92404 136 1802,092404 360,4184807
12 633,7358286 19012,07486 136 1901,207486 380,2414972
13 668,5912992 20057,73897 140 2005,773897 401,1547795
14 705,3638206 21160,91462 140 2116,091462 423,2182924
15 744,1588307 22324,76492 140 2232,476492 446,4952984
16 871,7542331 26152,62699 140 2615,262699 523,0525399
17 919,7007159 27591,02148 140 2759,102148 551,8204296
18 970,2842553 29108,52766 146 2910,852766 582,1705532
19 1023,649889 30709,49668 146 3070,949668 614,1899336
20 1079,950633 32398,519 146 3239,8519 647,97038
21 1269,347918 38080,43754 146 3808,043754 761,6087509
22 1339,162054 40174,86161 146 4017,486161 803,4972321
23 1412,815967 42384,479 156 4238,4479 847,6895799
24 1490,520845 44715,62534 156 4471,562534 894,3125068
25 1572,499491 47174,98473 156 4717,498473 943,4996947
26 1875,65363 56269,60889 156 5626,960889 1125,392178
27 1978,814579 59364,43738 156 5936,443738 1187,288748
28 2087,649381 62629,48144 168 6262,948144 1252,589629
29 2202,470097 66074,10292 168 6607,410292 1321,482058
30 2323,605953 69708,17858 168 6970,817858 1394,163572
31 2711,40428 81342,1284 168 8134,21284 1626,842568
32 2860,531515 85815,94546 168 8581,594546 1716,318909
33 3017,860749 90535,82246 190 9053,582246 1810,716449
34 3183,84309 95515,2927 190 9551,52927 1910,305854
35 3358,95446 100768,6338 190 10076,86338 2015,372676
36 4020,363622 120610,9087 190 12061,09087 2412,218173
37 4241,483621 127244,5086 190 12724,45086 2544,890173
38 4474,76522 134242,9566 222 13424,29566 2684,859132
39 4720,877307 141626,3192 222 14162,63192 2832,526384
40 4980,525559 149415,7668 222 14941,57668 2988,315336
41 5947,787798 178433,634 222 17843,3634 3568,672679
42 6274,916127 188247,4838 222 18824,74838 3764,949676
43 6620,036514 198601,0954 269 19860,10954 3972,021909
44 6984,138523 209524,1557 269 20952,41557 4190,483114
45 7368,266141 221047,9842 269 22104,79842 4420,959685
46 7773,520779 233205,6234 269 23320,56234 4664,112467
47 9219,397755 276581,9327 269 27658,19327 5531,638653
48 9726,464632 291793,939 339 29179,3939 5835,878779
49 10261,42019 307842,6056 339 30784,26056 6156,852112
50 10825,7983 324773,9489 339 32477,39489 6495,478978
Cost LQ
440 gc
Pop 13 Pop 18 Pop 23 Pop 28 Pop 33 Pop 38 Pop 43 Pop 48
3 ticks 3 ticks 3 ticks 3 ticks 3 ticks 3 ticks 4 ticks 3 tick
2600 3900 6500 7800 14300 20800 30550 45500
Sum $
1760
2565,149072
4675
5224
9717,087179
14097,24559
20816,44423
30807,40452
The Sum $ tells us howmuch the banker has after 5 ticks. Divide this number by the cost of LQ and you get a new number of LQ's after 8 ticks. This number of LQ's have a maximum population, which written under "Pop 13". Also, the time it takes to grow that population is written in the same section. Add that population with the old one and you get a new population. From the income, the food cost is subtracted which is calculated by 0,2*consumed food.
A CF banker has 20k income after tick 50 and the Pop banker has 11k income. As you can conclude for yourself, the CF banker earns double the money of the popbanker if he starts with the same resources. In reality this difference is even bigger as the popbanker does not start with a population of 10000 and no empire cost is taken into consideration. Both those factor play a significant role. It takes 56 ticks for a population to reach 10000 at SOR. So in reality, the popbanker would reach this stage at tick 106. If the CF banker continues to double his income every 24 ticks, then at tick 106 he would have an income of more than 80k per tick!!! That is 8x the amount a popbanker makes at that tick if both start with the same resources.
With these calculation I believe the discussion is won by me, unless you have some new exciting insight!
Edit: At some point though, the popbanker will overrule the CF banker since he needs many times less the infra to achieve the same amount of income. That is the point where OB costs will kill the CF banker and stage 3 of my strategy 
a.k.a Vladimir & Ariana
<Amar> are you a fail attacker that gives up quick or die hard hc attacker to the core???
<ThaMadDog> nither
<ThaMadDog> i'm a bitch that [BLAM] you while your asleep and rapes your bankers
*No "F" bombs in your signature. -Arby3