One difference is that wet clutch motorcycles seem to shear the oil faster than a typical car/diesel, so a lot of us change the oil way early due to poor shift feel since shift quality seems to be more related to viscosity. Plus, being an air cooled bike, you may have more variation in operating temp (thinning the oil further in hot summer temps). (The RT6 has a lower operating viscosity than Triple T)
The 15W-40 oils seem to shear less than the 0W/5W oils.
I think most of us would agree that the price isn't a huge factor, but when you consider the cons of using the synthetic (shears faster necessitating sooner change, no long drain benefits, higher cost), it makes sense to some of use to go with the 15W.
Typing in the viscosities of Triple T and T6 into the widman grapher:
http://www.widman.biz/English/Calculators/Graph.html
http://www.epc.shell.com/Docs/GPCDOC_Local_TDS_Canada_Shell_Rotella_T6_5W-40_%28CJ-4%29_%28en-CA%29_TDS.pdf
http://www.epc.shell.com/Docs/GPCDOC_Local_TDS_United_States_Shell_Rotella_T_Triple_Protection_15W-40_%28CJ-4%29_%28en-US%29_TDS.pdf
At 5C (41F), the viscosity of the 15W40 is 1011 cSt and the 5W40 is 540 cSt.
I would go ahead and try the 5W40 and see how your shifting feels. I would still stick with Rotella since it's JASO MA/MA2 rated.