If both TRS04 and TRS06 work acceptably... then your rig should be able to run TS09 just fine. I say "should" as there can always be unknown problems... but for the most part I notice a framerate/performance increase in TS09 over TRS2006.
TRS2009 will give you higher frame rates than the other versions on the same hardware. You may have to reduce the distance to get them as the default is set higher than TRS2006 etc.