There's another step that can be taken to refine the GSF400's cooling system.
If you look at the cooling system plumbing for most every modern motorcycle you'll see that there's a small direct-to-the-water-pump return line. Modern cars all have this also. It allows for a small amount of coolant to continuously circulate through the engine before the thermostat reaches its opening temperature.
This coolant system design is good for the engine because it evens out the temperature gradient throughout the engine's mass. This prevents/reduces wear inside the cylinder barrels.
Here's an example of the 1999 Suzuki SV system.
http://www.partzilla.com/parts/search/Suzuki/Motorcycle/1999/SV650/RADIATOR+HOSE/parts.html In this SV650 parts diagram item number 24 is the direct return line. You'll see that it leaves the thermostat housing prior to the thermostat and, as its name implies, it leads directly back to the bike's water pump.
The thing that makes installing a direct return bypass line easy on a GSF400 is that the B4's thermostat housing already has an extra port available (sticking right out of the bottom of the housing). This extra port is there because the GSX-R400 used the same thermostat housing and that bike has three temperature sensors. The B4 only has two temperature sensors so when Suzuki built the B4 they didn't drill out the casting for the third sensor.
I installed a direct return line from this extra port to the radiator return line that leads into the bike's water pump.
That modification plus installing a 195 degree thermostat brings the B4's cooling system up to modern day spec.