As I promised 
Here are calculations I just made.
Enjoy.
a. I will use my own data. You put FL FR 0.5/1 in calculators, my calculation will be based on my own hands on 0.5/1 FL SH (22395 hands).
b. I will do several calculations. Some in favour of Mansion and some in favour of Titan (number of hands to reach xyz level rank).
Titan and Mansion are on the same network, so rake is the same, but distribution of points isn't. That's why I wrote a script for Holdem Manager, which will calculate how many points I get with xyz hands on each platform.
Numbers I will be using:
Titan:
Mansion:
FL SH 0.5/1 Mansion/Titan
22395 hands
673,44$ rake
3BB/100 rake paid
1. Lets say, we make 15k hands on FL SH 0.5/1.
Rake generated: 451,06$.
Mansion Points generated: 12557,88 points.
Titan Points generated: 10651,34.
On Mansion we reach Pro Member Status (8k points), so we get boost of 150%.
On Titan we reach Platinum Level (10k points), so we get boost of 60%.
After boost
Mansion: 31394,7 points
Titan: 17042,14 points
Lets say we buy 1000$ (480k points) bonus at Mansion and 800$ (80k points) at Titan.
Mansion
(31394,7/480000*1000) / 451,06 = 14,5% "rakeback"
Titan
(17042,14/80000*800) / 451,06 = 37,78% "rakeback"
As it looks like, this case is closed, but I will do some more calculations anyway.
2. In previous calculation, we just reached Platinum level with 15k hands on Titan, so this time we will do less hands - 10k.
Rake generated: 300,71$
Mansion Points generated: 8371,92.
Titan Points generated: 7100,76.
On Mansion we reach Pro Member Status (8k points), so we get boost of 150%.
On Titan we reach Gold Level (5k points), so we get boost of 40%.
After boost
Mansion: 20929,8 points
Titan: 9941,06 points
We again buy 1k and 0.8k bonus.
Mansion
(20929,8/480000*1000) / 300,71 = 14,5% "rakeback"
Titan
(9941,06/80000*800) / 300,71 = 33,06% "rakeback"
Difference is still HUGE.
We know Mansion has 3 and 6 months bonuses too, so lets add them.
3 months (+30k on Pro level):
((3*20929,8 + 30000)/480000*1000) / (300,71*3) = 21,43% "rakeback".
Still, not even close. What about 6 monhts?
6 monhts (+120750 on Pro level):
((6*20929,8 + 120750)/480000*1000) / (300,71*6) = 28,44% "rakeback".
Close, but not close enough.
3. Ok, OK, maybe higher limits will do?
Lets try FL SH 1/2 with just enough hands to hit Elite Member on Mansion (13k hands).
FL SH 1/2 Mansion
23675 hands
1478,99$ rake
3,12BB/100 rake paid
Rake generated: 874,59$
Mansion Points generated: 20228,95.
Titan Points generated: 17548,39.
On Mansion we reached Elite Member status (20k) so we get boost of 250%.
On Titan we reached Titanium Level (17k, damn their VIP system is really bullet proof ♦), so we get boost of 100%.
After boost
Mansion: 70801,33 points
Titan: 35096,78 points
Mansion
(70801,33/480000*1000) / 874,59 = 16,9% "rakeback"
Titan
(35096,78/80000*800) / 874,59 = 40,1% "rakeback"
LOL
3 months (+105000)
((3*70801,33 + 10500)/480000*1000) / (874,59*3) = 25,2% "rakeback".
6 months (+440000)
((6*70801,33 + 440000)/480000*1000) / (874,59*6) = 34,33% "rakeback".
6 months of grinding to be "close".
4. Just for fun. Let's hit the highest level possible at Mansion (420k hands per month).
Rake generated: 26237$
Mansion Points: 606868.
Titan Points: 526481
After boost
Mansion: 3944642.
Titan: 1158258.
This time we buy 100k and 125k cash bonuses (maximum value possible for both).
Mansion
(3944642/32000000*100000) / 26237 = 46,98% "rakeback"
Titan
(1158258/7000000*125000) / 26237 = 78,83% "rakeback"
No comment...
Its 3:15AM but I will calculate for 6 months anyway, even though it's waste of time (obv).
((6*3944642 + 16000000)/32000000*100000) / (26237*6) = 78,75% "rakeback".
SOOOOOOOOOOOOOOO close. Better luck next time, Mansion.
Final conclusion.
Titan >>>>>>>>>>>>>> Mansion
You'd need to grind for half a year as Diamond Club to be even. Good luck with that.
Monthly play: 80k hands (hopefully mixing some 2/4 to lower this). 
104800 MCP/month (VIP: Diamond 1)
90920 TP/month (VIP: Diamond)
